Find the prime factorization of 105 using division by primes. Show work please

Answers

Answer 1

Answer:

Factors of 105 are the list of integers that can be evenly divided into 105. There are overall 8 factors of 105 among which 105 is the biggest factor and 1, 3, 5, 7, 15, 21, 35, and 105 are positive factors. The sum of all factors of 105 is 192 and its factors in Pairs are (1, 105), (3, 35), (5, 21), and (7, 15).

Factors of 105: 1, 3, 5, 7, 15, 21, 35 and 105

Negative Factors of 105: -1, -3, -5, -7, -15, -21, -35 and -105

Prime Factors of 105: 3, 5, 7

Prime Factorization of 105: 3 × 5 × 7 = 3 × 5 × 7

Sum of Factors of 105: 192

Step-by-step explanation:

To calculate the factors of 105, we can use the division method. Let's start with 1.

105 ÷ 1 leaves remainder 0.

Since 105 is not an even number, 2 does not divide 105 completely. Thus, it leaves a remainder.

105 ÷ 3 leaves remainder 0.

105 ÷ 5 leaves remainder 0.

105 ÷ 7 leaves remainder 0.

105 ÷ 15 leaves remainder 0.

105 ÷ 21 leaves remainder 0.

105÷ 35 leaves remainder 0.

105 ÷ 105 leaves remainder 0.

Thus, the factors of 105 that we have obtained are 1, 3, 5, 7, 15, 21, 35, and 105.

Explore factors using illustrations and interactive examples

Factors of 75: The factors of 75 are 1, 3, 5, 15, 25 and 75

Factors of 175: The factors of 15 are 1, 3, 5, and 15.

Factors of 35:  The factors of 35 are 1, 5, 7, and 35.

Factors of 70: The factors of 70 are 1, 2, 5, 7, 10, 14, 35, and 70.

Factors of 42: The factors of 1, 2, 3, 6, 7, 14, 21, and 42.


Related Questions

A birdhouse has a shadow that is 12 feet long.

Jin is 5 feet tall, and he is standing next to the birdhouse.
Jin has a shadow that is 3 feet long.

Use this information to complete the statement about the birdhouse.

Answers

Answer:

7.2

Step-by-step explanation:

3/5 * 12

What is the area of this trapezoid

Answers

The area is 20

[(a + b)/2]h

A=base 1
B=base 2
H=height

3
8. Ally bikes 4 miles in
of an hour.
What is the unit rate at which Ally is biking?
Hurry!!!!

Answers

Answer:

A Mile in a flat road race takes about 3 to 4 minutes. On a flat surface, the ride is relatively smooth with no significant hurdles, hills or tricky manoeuvers.

Step-by-step explanation:

What are the blank numbers for 16, 17, 18, and 19

Answers

Answer:

16: 0.5, 5, 7.5

17: 62, 434, 682

18: 12.3, 62.5, 10

19: 1, 75, 300

Step-by-step explanation:

16: 9/18=0.5 so halve the numbers

17: 186/3=62 so multiply numbers by 62

18: 24.6/2= 12.3 so multiply by 12.3 and divide for the last one

19: 125/5=25 so for the first one divide by 25 and for the last two times by 25

What is the slope of the line?

Answers

Answer:

[tex]m=-3[/tex]

Step-by-step explanation:

When looking at the graphed line we can see that point A is [tex](-1,0)[/tex] and point B is [tex](0,-3)[/tex] so in order to find the slope of these two points we use the slope formula

[tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} } =\frac{rise}{run}[/tex]

[tex]m=\frac{-3}{1} =\frac{rise}{run}[/tex]

mary’s mom gave her 100$ to go shopping she bought a shirt for 22.65 and skirt for $33.31 she had a coupon for 2/5 off her total purchase. how much change did she receive from the cashier

Answers

22.65+33.31= 55.96
Is over of us equal to percent over a hundred
X/55.96=40/100
Cross multiply
100x=2,238.4
/100 /100
X=22.38

55.96-22.38
=33.58
100-33.58
$66.42

Find the value of x.

Answers

VALUE OF X = 465756 X 366765=X

Solve the system of equations.
y = x2 - 3x + 6
y = 2x + 6
A. (0,6) and (5, 16)
B. (-5, - 4) and (0,6)
C. (-5, - 4) and (0-6)
D. (0,-6) and (5, -16)

Answers

Step-by-step explanation:

y = x² - 3x + 6

y = 2x + 6

y = y

x² - 3x + 6 = 2x + 6

x² - 5x = 0

x(x - 5) = 0

x = 0 and x = 5

y = 2x + 6 and y = 2x + 6

y = 2(0) + 6 and y = 2(5) + 6

y = 0 + 6 and y = 10 + 6

y = 6 and y = 16

(x1,y1) and (x2, y2) = (0,6) and (5,16)

Option → A

What is -7 + 1/3?

MAJOR HELP PLEASE! ITS FOR A GRADE

Answers

Answer:

So, 59 is in simplest form, since 5 and 9 have no common factors other than 1 .

- 20/3 is the answer I got

PLEASE HELP ASAP
1. The amount of Kelly's paycheck varies directly with the number of hours
she works. Kelly receives $139.80 for 12 hours of work.
(a) Write a direct variation equation that relates the amount of Kelly's paycheck, y, to the number of hours, x,
that Kelly works.
(b) use the equation to find the amount of Kelly’s paycheck when she works 40 hours.

Answers

Answer:

(A) p=11.65h

(B) h=22

(C) p=466

Step-by-step explanation:

A) The equation for direct variation is usually y=kx, K being the constant variation, Y being the amount of Kelly’s paycheck, and x being the number of hours. So the equation would turn into p=kh. Then you have to plug in the numbers they gave you which would be, 139.80=12k. When you plug that into a calculator you get, K=11.65. So, the answer would be p=11.65h

B) For B we’re keeping the same format of the equation from question A which would be p=11.65h, but were plugging in p, the amount of paycheck she receives so, the 256.3 so our new equation would be 256.3=11.65h, putting that into a calculator will give you the answer which is h=22.

C) Same thing as question B we are keeping the same format of the equation as Question A but this time we’re pluggin in h, the amount of hours Kelly works. So our equation would be p=11.65(40). Plugging that into the calculator will give you p=466.

Hope this helps.

What letter on this number line represents -(3/2)?

Answers

Step-by-step explanation:

B Represent [tex] \sf{ - ( \dfrac{3}{2}) }[/tex]

Hallar la desviación estándar de los siguientes datos: 5,5; 7,8; 6,4; 8,2; 6,4; 5,7; 7,8; 6,4; 8,2

Answers

Answer:

what?

Step-by-step explanation:

l 3F - 2g l + 2 if F= -2 and g= 1

Answers

-(3F - 2g) +2
=-3F+2g +2
= -3(-2) + 2(1) + 2
= 6+2+2
= 10

Answer:

Step-by-step explanation:

3f-2g

42=x-7 using Inverse Operations

Answer Choice

A . x=7
B . x=35
C . x=6

Answers

The answer is x=35 i did the work on a paper and the answer is x=35

Help
9x−7=29
Ancwer options:
x=4

x=36

x=229

x=−4

Answers

Answer:

x=4

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

9x-7=29

9x=29+7

x=36/9

x=4

Please help! I will mark brainliest!

Answers

Answer:

(x⁴ + 1)(x⁴ + 4)

Step-by-step explanation:

You can treat this equation in exactly the same way as a quadratic equation since the power of the second term is half that of the first;

The powers don't have to be 2 and 1.

Sven subtracted from the product of a number and -8 is 1

Answers

Answer:

-1

Step-by-step explanation:

-8 x -1 = 8

8 - 7 = 1

Answer:

I believe the number would be negative one. Sorry if i'm wrong but that is what i'm getting here.

Step-by-step explanation:

-8m-7=1    add 7

-8m=8       divide both sides by -8 to get m alone.

m=-1

I hope this helped :)

HELP ASAP

Is there enough information to prove that the triangles are congruent?

If yes, provide the correct Triangle Congruence Postulate or Theorem and a congruence statement.

If no, justify your answer.



Please use your own words im not tryna get in trouble.

Answers

Answer:

No, the two triangles can not be proven to be congruent with the given information. The reason that it can't be proven is due to there being a missing measurement. The triangles could be proven to be congruent if there was an angle given or if the other side was shown to be congruent.

Step-by-step explanation:

This is in my own words not taken from the internet but i suggest that you reword it because our wrighting styles are probably different and sometimes you can get counted off for that. I hope this helps!

315 is what percent of 750?

Answers

Answer:

42

Step-by-step explanation:

✨✨✨✨✨✨✨✨✨✨✨✨✨✨✨✨✨✨✨

ZA and B are vertical angles. If mZA = (2x + 7)º and m B = (5x + 16),

then find the measure of ZB.

Answers

Answer:

Step-by-step explanation:

Tell whether the slope of the line is positive, negative, zero, or undefined.

PLEASE HELP ILL GIVE YOU BRAINLIEST AND 5 STARS

Answers

The slope is undefined.

I need help with surface area

Answers

Answer:

Area=2πrh+2πr2Area=2πrh+2πr2=

2×π×3·4+2×π×32

≈131.94689

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Answer:

132.3

Step-by-step explanation:

A= 2 π r h+2 π r²

A=2×3.14×3×4+2×3.14×3²

A=6.3×3×4+6.3×9

A=75.6+56.7

A=132.3

(π is rounded up to 3.14)

NOTE:

The answer might defer from the calculator answer (which is 131.9) and that is because the value of pi taken by the calculator is the whole value and here it is rounded up to 3.14 which is what you take when calculating manually

easy one - giving brainly - show work.​

Answers

(c) Antonio will win by 0.4 h

What is the area of this triangle? A=B x H 12
Height= 127 ft
Base= 13ft

Answers

Answer:

The area of this triangle is 825.5 square feet

Step-by-step explanation:

For a given Triangle

Base = 13 ft

Height = 127 ft

Now, Area of Triangle

A = ½ × b × h

A = ½ × 13 × 127 ft

A = ½ × 1751 ft

A = 825.5 square feet

Thus, The area of this triangle is 825.5 square feet.

-TheUnknownScientist 72

please help Evaluate a-[20}{b}

Answers

Step-by-step explanation:

a = 33

b = 5

= a - 20/b

= 33 - 20/5

= 33 - 4

= 29

Shelley's cup of tea cooled down 1/2 of a degree in 10 minutes. At what rate is her tea cooling down?

Answers

1degree every 20 minutes or

3degrees per hour

3. Bridget is reviewing a nutrition label. She
wants to find the difference between the
amount of grams of saturated fat and
protein. How many more grams are there of
saturated fat than protein? Draw decimal
models to find the difference.

Answers

The difference between the amount of saturated fat and protein can be calculated using the subtraction operation. Hence, the difference is 0.59 grams.

Given the Parameters :

Grams of Saturated Fat = 1.08 grams Grams of protein = 0.49 grams

Using the subtraction operation :

Grams of Saturated Fat - Grams of Protein

1.08 g - 0.49 g = 0.59 grams

Hence, the amount of saturated fat is 0.59 grams more than Protein.

Learn more : https://brainly.com/question/25606306

FAST ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

0.5

Step-by-step explanation:

just use any point you can find in the graph

and use the dollar to divided by the cups.

the point I chose is 1 dollar for 2 cups. So it's 0.5 dollar for 1cup

Identify the number that does not belong with the other three. Explain your reasoning. negative 10 over 2, negative 13.4, square root 18, 22.7 repeating 7

Answers

Its 22.7 repeating 7 because the rest are negative and it’s the only positive fraction

PLEASE can anyone answer these questions? this is due tomorrow and still havent turned in anything URGENT

#1 Mrs. Galicia sells online math and reading games. Her revenue for each game (in dollars) is modeled by the given equations, where x is the number of days since the games went on sale.
Math game: M(d)=x^2-9x-10
Reading game: R(d)=2x+10
Solve the system algebraically.
a) what are the two solutions to this system? SHOW YOUR WORK.
b) after how many days is the revenue for each game the same?

#2 Mrs. Galicia dropped a ball from the top of a tower. At the same time, her son, Antonio, launches a rocket from a different level of the tower.
The height of the tennis ball in feet after t seconds can be represented by the quadratic function:
b(t)=-t^2-2t+36
The height of Antonio's rocket after t seconds can be represented by the linear function:
p(t)=-2t+20
a) what are the two solutions to this system? SHOW YOUR WORK.
b) explain which solution is not reasonable in this situation.
c) after how many seconds do the rocket and the ball reach the same height?

Answers

1.
M(d) = x^2 - 9x - 10
R(d) = 2x + 10

A. Since M(d) and R(d) are technically the same term, we can substitute them for the other.

Substitute M(d) for R(d)’s expression

2x + 10 = x^2 - 9x - 10

x^2 - 11x - 20 = 0

Use this equation to put in the quadratic formula

x = (-(-11) +/- √((-11)^2 - 4(1)(-20)))/2(1)

x = (11 +/- √201)/2 or x = 12.5887… and -1.5887…

B. 12.6 days as there can’t be negative days

2.

Do the same substitution as the previous question

-t^2 - 2t + 36 = -2t + 20

Get all parts on the same side

t^2 - 16 = 0

Optional: quadratic formula

t = (-(0) +/- √((0)^2 - 4(1)(-16)))/2(1)

t = 4 and -4

b. -4 is not reasonable in this situation as time cannot be negative

c. 4 seconds


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