Factoring Fun for Grade 3

What are the factors of 8?

• 1, 2, 4, 8

• 1, 3, 8

• 2, 4, 6

• 1, 2, 3, 8

Answer explanation

The factors of 8 are the numbers that divide 8 without leaving a remainder. These are 1, 2, 4, and 8. Therefore, the correct choice is 1, 2, 4, 8.

Tags

CCSS.4.OA.B.4

Which of the following is the greatest common factor (GCF) of 12 and 24?

• 2

• 4

• 6

• 12

Answer explanation

The greatest common factor (GCF) of 12 and 24 is the largest number that divides both. The factors of 12 are 1, 2, 3, 4, 6, 12 and for 24 are 1, 2, 3, 4, 6, 8, 12, 24. The largest common factor is 12.

What is a factor pair of 36?

• 1 and 36

• 2 and 18

• 3 and 12

• All of the above

Answer explanation

A factor pair of a number consists of two numbers that multiply to that number. For 36, the pairs are (1, 36), (2, 18), and (3, 12). Therefore, the correct answer is 'All of the above'.

Tags

CCSS.4.OA.B.4

Is 42 a prime or composite number?

• Prime

• Composite

Answer explanation

42 is a composite number because it has divisors other than 1 and itself. It can be divided by 1, 2, 3, 6, 7, 14, 21, and 42, confirming it is not prime.

Tags

CCSS.4.OA.B.4

Which of the following numbers is a prime number?

• 4

• 8

• 32

• None of the above

Answer explanation

A prime number is greater than 1 and has no positive divisors other than 1 and itself. The numbers 4, 8, and 32 are all composite, as they can be divided by numbers other than 1 and themselves. Therefore, the correct answer is 'None of the above'.

Tags

CCSS.4.OA.B.4

What is the prime factorization of 50?

Answer explanation

The prime factorization of 50 is found by dividing it into prime numbers. 50 can be divided by 2 (50 = 2 × 25), and 25 can be further divided by 5 (25 = 5 × 5). Thus, the complete factorization is 2 × 5 × 5.

Which of the following is a factor of 24?

• 5

• 6

• 7

• 9

Answer explanation

A factor of a number divides it evenly without leaving a remainder. 24 ÷ 6 = 4, so 6 is a factor of 24. The other options do not divide 24 evenly.

Tags

CCSS.4.OA.B.4

What is the greatest common factor of 4 and 32?

• 2

• 4

• 8

• 16

Answer explanation

The greatest common factor (GCF) of 4 and 32 is 4, as it is the largest number that divides both without leaving a remainder. The factors of 4 are 1, 2, and 4, and the factors of 32 include 1, 2, 4, 8, 16, and 32.

Which of the following is a factor pair of 8?

• 1 and 8

• 2 and 4

• Both A and B

• None of the above

Answer explanation

A factor pair of a number consists of two numbers that multiply to that number. For 8, both 1 and 8 (1x8) and 2 and 4 (2x4) are valid pairs. Therefore, the correct answer is 'Both A and B'.

Tags

CCSS.4.OA.B.4

What is the smallest factor of any number?

• 0

• 1

• The number itself

• 2

Answer explanation

The smallest factor of any number is 1, as every number is divisible by 1. Zero is not a valid factor, and while a number is a factor of itself, 1 is universally the smallest factor.

Tags

CCSS.4.OA.B.4