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Algebra Problems: Prime Factorization and Greatest Common Factor

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22 problems about ...

factorization
GCF
LCM
fractions
simplest form
mixed fractions
word problems
decimals
percent
exponents
absolute value

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Solution Summary

This solution helps with algebra problems that involve prime factorization, greatest common factors, mixed fractions, exponents, absolute value and more.

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I find the prime factors by breaking the number down into at least two factors, then finding the prime factors for those numbers:

90 = 9 * 10
90 = (3 * 3) * (5 * 2)

Answer: 3, 3, 5, and 2

Factors are numbers that go evenly into the original numbers. The factors of 15 are:

1 15
3 5

Answer: 5 and 3

The factors of 36 are: Of 54: Of 180:

1 36 1 54 1 180
2 18 2 27 2 90
3 12 3 18 3 60
4 9 6 9 4 45
6 6 5 36
6 30
9 20
10 18

Answer: The greatest common factor is 18.

Multiples of 8 are: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120, ...
Of 15: 15, 30, 45, 60, 75, 90, 105, 120, ...

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