Divisibility and Prime Factorization

Use a factor tree or ladder method to find the prime factorization of 42.

• 3 x 14

• 6 x 7

• 2 x 3 x 7

• 1 x 42

Answer explanation

What is the prime factorization of 36?

• 2² ⋅ 3²

• 2² ⋅ 2³

• 4 ⋅ 9

• 3² ⋅ 4 ⋅ 5

Which of the following shows the prime factorization of 24?

• 2 × 2 × 2 × 3

• 2 × 2 × 2 × 3

• 2 × 2 × 2 × 2 × 3

• 2 × 2 × 3 × 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 of 60.

• 2 x 2 x 2 x 3

• 2 x 2 x 3 x 5

• 2 x 2 x 2 x 2 x 2

• 2 x 3 x 3 x 5

What is the prime factorization of 24?

• 3 x 8

• 3 x 2 x 2 x 2

• 4 x 6

• 2 x 2 x 3

Match the prime factorization to each number.

• 111

• 
• 81

• 
• 1000

• 
• 200

• 
• 26

• 

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

All of these numbers are divisible by 5 except for...

• 75,395

• 984,940

• 222,222,235

• 8,943,892

Insert the correct digit to make the following number divisible by 3.

• 1

• 2

• 3

• 5