Finding Factors

What is a factor?

• A decimal number that is part of another number.

• A fraction that divides evenly into a whole number.

• A whole number that divides into another number without leaving a remainder.

• A prime number that is divisible only by 1 and itself.

Answer explanation

A factor of a number is defined as a whole number that divides into the number without leaving a remainder. For example, 15 can be divided by its factors: 1, 3, 5, and 15 without leaving a remainder.

What is a factor pair?

• Two numbers with the same remainder when divided by each other.

• A pair of consecutive whole numbers.

• Two prime numbers that add up to a composite number.

• A set of two numbers that can be multiplied together to get a specific number.

Answer explanation

A factor pair is a set of two numbers that can be multiplied together to get a specific number. For instance, the factor pairs of 15 are (1, 15) and (3, 5) because 1 x 15 and 3 x 5 equal 15.

What are the factors of 24?

• 1, 2, 3, 4, 5, 6, 8, 12, 24 

• 1, 2, 3, 4, 6, 8, 12, 24

• 1, 2, 3, 4, 6, 9, 12, 18, 24

• 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24

Answer explanation

The factors of 24 are the numbers that divide 24 without leaving a remainder. In this case, the factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24.

What are the factor pairs of 56?

• (1, 56), (2, 28), (4, 14), (7, 8)

• (1, 56), (2, 28), (4, 16), (7, 8)

• (1, 56), (2, 27), (4, 14), (7, 8)

• (1, 56), (2, 27), (4, 16), (7, 8)

Answer explanation

The factor pairs of 56 are the pairs of numbers that, when multiplied, give the original number. In this case, the factor pairs of 56 are (1, 56), (2, 28), (4, 14), and (7, 8).

What are the factors of 36?

• 1, 2, 3, 4, 5, 6, 9, 12, 15, 18, 20, 36

• 1, 2, 3, 4, 5, 6, 9, 12, 18, 36

• 1, 2, 3, 4, 6, 9, 12, 18, 36

• 1, 2, 3, 4, 6, 9, 12, 18, 24, 36

Answer explanation

The factors of 36 are the numbers that divide 36 without leaving a remainder. In this case, the factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36.