Factors and Multiples

Front

What is a multiple?

Back

A multiple of a number is the product of that number and an integer. For example, multiples of 3 include 3, 6, 9, 12, etc.

Front

What is a factor?

Back

A factor of a number is an integer that can be multiplied by another integer to produce that number. For example, factors of 12 include 1, 2, 3, 4, 6, and 12.

Front

How can you determine if a number is a multiple of another number?

Back

To determine if a number is a multiple of another, divide the first number by the second. If the result is an integer (with no remainder), then the first number is a multiple of the second.

Front

List the first five multiples of 5.

Back

The first five multiples of 5 are 5, 10, 15, 20, and 25.

Front

What are the factors of 15?

Back

The factors of 15 are 1, 3, 5, and 15.

Front

Is 36 a multiple of 12?

Back

Yes, 36 is a multiple of 12 because 12 multiplied by 3 equals 36.

Front

What is the relationship between factors and multiples?

Back

Factors are the numbers that divide another number evenly, while multiples are the results of multiplying a number by integers.

Front

How do you find the least common multiple (LCM) of two numbers?

Back

To find the LCM of two numbers, list the multiples of each number and identify the smallest multiple that appears in both lists.

Front

What is the greatest common factor (GCF) of two numbers?

Back

The GCF of two numbers is the largest integer that divides both numbers without leaving a remainder.

Front

Are all multiples of a number also factors of that number?

Back

No, multiples of a number are not factors of that number. Factors divide the number evenly, while multiples are produced by multiplying the number.