Identifying Square Numbers through Prime Factorization

Which of the following numbers is a perfect square?

• 18

• 36

• 99

• 45

Tags

CCSS.6.EE.A.1

Prime factorization of which number results in pairs of the same prime numbers?

• 16

• 21

• 33

• 55

Tags

CCSS.4.OA.C.5

If a number has a prime factorization of 2 x 2 x 3 x 3 x 5 x 5, is the number a perfect square?

• Yes

• No

Which of the following numbers is NOT a perfect square?

• 81

• 49

• 100

• 63

Tags

CCSS.6.EE.A.1

If a number has a prime factorization of 2 x 2 x 7 x 7, which number is it?

• 28

• 56

• 196

• 98

A perfect square can be identified by...

• its prime factorization containing pairs of the same prime numbers.

• its prime factorization containing odd numbers only.

• it being divisible by 2

• it being a multiple of 5.

What is the prime factorization of the perfect square 64?

• 2 x 2 x 2 x 2 x 2 x 2

• 3 x 3 x 3 x 3

• 2 x 2 x 2 x 2 x 3 x 3

• 2 x 2 x 2 x 2 x 2

The number 36 is a perfect square. What is its prime factorization?

• 2 x 2 x 3 x 3

• 2 x 2 x 2 x 3

• 2 x 3 x 3 x 3

• 3 x 3 x 2 x 2 x 2

Which of the following numbers has a prime factorization that could result in a perfect square?

• 30

• 8

• 40

• 64

What is the smallest perfect square greater than 1?

• 2

• 3

• 4

• 5

Tags

CCSS.6.EE.A.1