Prime Factorizations

2 x 2 x 2  or 2³ is the prime factorization of

• 6

• 12

• 22

• 8

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

• 5² x 3

• 3 x 5 x 7

• 3² x 5

• 15 x 5

Use a number tree to find the prime factorization of 48

• 4x2x6

• 4x2²x3

• 3x2⁴

• 12x4

If the expanded form is 2⋅2⋅2⋅3⋅3⋅5⋅7 what would the exponential form be?

• 2⋅3⋅5⋅7

• 2³⋅3²⋅5⋅7

• 2²⋅3²⋅5⋅7

• 8⋅9⋅35

Only 1 answer below could be correct for the prime factorization of a number. Which answer could be correct. 

• 4⋅2⋅5

• 2⋅3²⋅7

• 15²⋅7

• 7²⋅4²

Write 144 in prime factorization. Use a factor tree. Show your work.

• 2² x 3⁴

• 2⁴ x 3²

• 2³ x 3³

• 2⁴ x 3³

Write 76 in prime factorization. Use a factor tree. Show your work.

• 2² x 19

• 2 x 19²

• 2 x 19

• 2² x 19²

Write 384 in prime factorization. Use a factor tree. Show your work.

• 2⁴ x 3

• 2⁶ x 3

• 2⁷ x 3

• 2⁵ x 3

Find the prime factorization of 72

• 2³ x 3²

• 2 x 3² x 4

• 2⁴ x 3³

• 2² x 6²

Find the prime factorization for 80

• 4² ⋅ 5

• 2⁴ ⋅ 5

• 2 ⋅ 2 ⋅ 2

• 8 ⋅ 5 ⋅ 2