Prime Factorization Exponents

Using a Factor Tree, find the prime factorization of 100 in exponential form.

• 10 × 10

• 5⁴

• 4 x 25

• 2² × 5²

Using a Factor Tree, find the prime factorization of 180 in exponential form.

• 2× 3 × 5 × 6

• 2 × 3² × 5²

• 2² × 3² × 5

• 10 x 18

Jaselyn and Ky are working on the prime factorization of 63. Read their explanations and decide which student is correct.

• Jaselyn said the prime factorization of 63 is 7 x 9 because 7 times 9 is 63.

• Ky said the prime factorization of 63 is 3² x 7 because 3² times 7 equals 63 and the bases in his answer are all prime.

Using a Factor Tree, find the prime factorization of 75 in exponential form.

• 3 × 5²

• 3² × 5

• 5 × 15

• 3² × 5²

When the prime factorization of 72,072 is written, what is the sum of the exponents?

• 7

• 9

• 11

• 13

What are the prime factors of 81?

• 4 to the power of 6

• 2 to the power of 4

• 3 to the power of 5

• 3 to the power of 4

Prime factorization of 36 with exponents

Mathematical Equivalence

ON

Write 64 as a product of its prime factors.

• 8x8

• 4x4x4

• 2x2x2x2x2x2

• 2x2x4x4

In a power, an _______ is the the number that tells how many times the base is multiplied.

• exponent

• base

• composite number

• prime number

Using a Factor Tree, find the prime factorization of 54 in exponential form.

• 3² x 6

• 2 × 3³

• 2³ x 3

• 6 × 9