Prime Factorization Using 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 24 in exponential form.

• 2³ x 3

• 2² x 3 x 4

• 2² × 3²

• 2 × 12

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.

Find the prime factorization of 72

• 2³ x 3²

• 2 x 3² x 4

• 2⁴ x 3³

• 2² x 6²

What is the prime factorization of 100,000?

• 2 x 5 x 0

• 2 ^ 5 x 5 ^ 2

• 2 ^ 5 x 5 ^ 5

• 2 x 3 x 4 x 5

Which is the CORRECT prime factorization of 18?

• 2 x 9

• 3 x 6

• 2 x 3²

• 2⁹

Find the prime factorization of 120.

• 3 x  5 x  8

• 2³ x 3 x  5

• 2² x  3 x  5

• 2  x  3²  x   5

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

• 3 × 5²

• 3² × 5

• 5 × 15

• 3² × 5²

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

• 3² x 6

• 2 × 3³

• 2³ x 3

• 6 × 9