Factors and Multiples

Front

What are factors?

Back

Factors are numbers that can be multiplied together to get another number. For example, the factors of 12 are 1, 2, 3, 4, 6, and 12.

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What are multiples?

Back

Multiples are numbers that can be divided by a certain number without leaving a remainder. For example, the multiples of 5 are 5, 10, 15, 20, etc.

Front

What is a prime number?

Back

A prime number is a number greater than 1 that has no positive divisors other than 1 and itself. For example, 2, 3, 5, and 7 are prime numbers.

Front

What is the least common multiple (LCM)?

Back

The least common multiple (LCM) of two numbers is the smallest number that is a multiple of both. For example, the LCM of 4 and 5 is 20.

Front

What is the greatest common factor (GCF)?

Back

The greatest common factor (GCF) of two numbers is the largest number that divides both of them without leaving a remainder. For example, the GCF of 8 and 12 is 4.

Front

How do you find the factors of a number?

Back

To find the factors of a number, list all the pairs of numbers that multiply to that number. For example, the factors of 18 are 1, 2, 3, 6, 9, and 18.

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How do you find the multiples of a number?

Back

To find the multiples of a number, multiply that number by 1, 2, 3, and so on. For example, the multiples of 3 are 3, 6, 9, 12, etc.

Front

What is a composite number?

Back

A composite number is a number that has more than two factors. For example, 4, 6, and 8 are composite numbers.

Front

What is the relationship between factors and multiples?

Back

Factors are the numbers you multiply to get a product, while multiples are the products you get when you multiply a number by integers.

Front

What is an example of a number that is both a factor and a multiple of another number?

Back

The number 12 is both a factor and a multiple of 24, because 12 x 2 = 24.