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Q: What is the answer to 10 and 15 by using prime factorization with exponents?

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10 squared times 2squared

10 = 2 * 5 (exponents are not needed).

102 = 100 and the prime factors of 100 in exponents are 22*52 = 100

Write the prime factorization with exponents. Add 1 to each exponent. (Numbers without exponents actually have the exponent 1.) Multiply them together. That will be the number of factors. 10 = 2 x 5 = 21 x 51 2 x 2 = 4 10 has four factors. 72 = 23 x 32 4 x 3 = 12 72 has twelve factors. Square numbers can be tricky. The prime factorization of 9 should be written as 32, not 3 x 3. Adding 1 to the 2 gives you 3. 9 has three factors.

2 x 5 = 10 5 x 5 = 25 The GCF is 5.

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1.0*10^1

10 = 21*51

2 x 5 = 10 No exponents necessary.

10 to the third power

10 squared times 2squared

10^6 = 2^6 x 5^6

10 = 2 * 5 (exponents are not needed).

6480 = 648*10 = 8*81*2*5 = 24*34*5

2 x 5 No exponents required.

2 x 5 = 10. No exponents are needed.

102 (ten squared) is a way to write 100 but it is not the prime factorization because ten isn't prime. The prime factorization of 100 is 2 x 2 x 5 x 5 or 22 x 52

102 = 100 and the prime factors of 100 in exponents are 22*52 = 100

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