Prime Factorization and Prime or Composite Numbers

Which of the following are all prime numbers

• 2, 3, 6, 7, 9

• 2, 4, 8, 16

• 2, 3, 5, 7, 9

• 2, 3, 5, 7, 11

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

A composite number

• has more than 2 factors

• has one factor

• has at least 10 factors

• is always a really big number

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

What number is never allowed in a factor tree? 

• 13 (it's bad luck!)

• 1 

• 8675309

• 2

Find the prime factorization for 80

• 4² ⋅ 5

• 2⁴ ⋅ 5

• 2 ⋅ 2 ⋅ 2

• 8 ⋅ 5 ⋅ 2

What is the prime factorization of 192 ? 

• 3 ⋅ 6²

• 2⁶ ⋅ 3

• 2⁸ ⋅ 3

•  3 ⋅ 8² 

Use a number tree to find the prime factorization of 105

• 3 x 5 x 7

• 3 x 5 x 11

• 1 x 2 x 5 x 7

• 2 x 3 x 5 x 7