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Q: How are factors and exponents related?

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The factors are: 5 x 7 x 31 No exponents required.

The prime factors of 34 are 2 and 17. No exponents are needed.

22 x 3 = 12

As a product of its prime factors in exponents: 2^4 times 3^2 = 144

22 x 52 x 19 = 1900

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The factors are: 5 x 7 x 31 No exponents required.

the prime factors of 725 using exponents are 5^2 x 29

1, 3, 7, 21 No exponents required.

There are no exponents. The prime factors are 2 and 47, so the factorization is just 2 x 47.

The prime factors of 34 are 2 and 17. No exponents are needed.

As a product of its prime factors in exponents: 2*32*37 = 666

First you separate it into prime factors (start looking for small factors, such as 2, 3, 5). Then, you combine the factors with exponents.

As a product of its prime factors in exponents: 22*33 = 108 As a product of its prime factors in exponents: 23*29 = 232 As a product of its prime factors in exponents: 23*3*7 = 168

The prime factors of 20 using exponents is: 22x 5

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As a product of its prime factors in exponents: 24*54 = 10,000

22 x 32 = 36