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## plz help me with thia problem in math

kate understnads factors,bbut sometimes she has trouble finding all the factors of a number. what advice would you give to help her find all the factors of a number? demonstrate by finding all the factors of 110.

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Pretty much, keep dividing the number by the smallest prime number until you are left with a prime number.

Ex. 110

110 | 2
55 | 5
11

The factors are 2, 5, and 11.

all factors of 110

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there are lots of factors not just 2 5 and 11

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the directions say: use a factor tree to find the prime factorization of each number. the numbers assigned are: 9) 81 10) 525 12) 1,120 16) 975

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looks like im not getting help

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I don’t know how well I can draw trees on this site.

The method I’m doing is to keep dividing the number by prime numbers until you reach a prime number to get your nodes. Please note that you can usually work these in different ways. I’ll show you one solution to the problems:

81, well 3 divides into this:
81 / 3 = 9; 3 divides into 9
9 / 3 = 3; and 3 is a prime number
So your tree should have 81 on top (or the head or root), 3 as the first left child (also called a branch) and 9 as the right child. From the 9, two more branches should come off with both being 3.

525, this is divisible by 5:
525 / 5 = 105, and 105 is also divisible by 5:
105 / 5 = 21, and 21 is divisible by 7:
21 / 7 = 3 , and 3 is prime.
So your tree should have 525 on top with 5 and 105 as the first two childs. Then, 21 and 5 should branch from 105. Finally 7 and 3 should branch from 21.

1,120, this is divisible by 5:
1120 / 5 = 260, this is also divisible by 5:
260 / 5 = 52, this is divisible by 2:
52 / 2 = 26, this is also divisible by 2:
26 / 2 = 13, which is prime.
So, put 1120 on the top with 250 and 5 branching off. Then have 52 and 5 branching from the 260. From the 52, have a 2 and 26 branch. Lastly, branch a 2 and 13 from the 26.

975, this is divible by 5:
975 / 5 = 195, this is also divisible by 5:
195 / 5 = 39, this is divisible by 3:
39 / 3 = 13, which is prime.
Put 975 at the top with 195 and 5 branching. Then have 39 and 5 branching from the 195. Then have the 5 and 39 branch from the 195. Then have the 3 and 13 branch from the 39.

I hope that helps. Like I said, there are different ways to drawing the trees, but this method should work.

Davis donates 4/13 of his paycheck to his favorite charity. If he donates \$26.80, what is the amount of his paycheck?

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Davis donates 4/13 of his paycheck to his favorite charity. If he donates \$26.80, what is the amount of his paycheck?

Well, \$26.80 is 4/13 of his paycheck. So, we can multiply this fraction to get the full paycheck if we have the fraction to 1/1. If we multipy \$26.80 by (13/4) we’ll get the whole paycheck (Because (4/13) * (13/4) = 1). So (13/4)*(26.8) = 87.1

Davis paycheck is \$87.10

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