Factors and Multiples

Front

What is a factor?

Back

A factor is a whole number that can be divided evenly into another number. For example, factors of 12 are 1, 2, 3, 4, 6, and 12.

Front

What is a multiple?

Back

A multiple is the result of multiplying a number by an integer. For example, multiples of 5 are 5, 10, 15, 20, etc.

Front

What is prime factorization?

Back

Prime factorization is expressing a number as the product of its prime factors. For example, the prime factorization of 24 is 2³ x 3.

Front

What is the greatest common factor (GCF)?

Back

The GCF is the largest number that divides two or more numbers without leaving a remainder. For example, the GCF of 20 and 30 is 10.

Front

What is the least common multiple (LCM)?

Back

The LCM is the smallest number that is a multiple of two or more numbers. For example, the LCM of 20 and 30 is 60.

Front

How do you find the GCF of two numbers?

Back

To find the GCF, list the factors of each number and identify the largest factor they have in common.

Front

How do you find the LCM of two numbers?

Back

To find the LCM, list the multiples of each number and identify the smallest multiple they have in common.

Front

What is the prime factorization of 30?

Back

The prime factorization of 30 is 2 x 3 x 5.

Front

What is the prime factorization of 60?

Back

The prime factorization of 60 is 2² x 3 x 5.

Front

If a florist orders flowers every 6 days and 4 days, how do you find when she orders both?

Back

You find the LCM of 6 and 4, which is 12 days.