# What are the factors of 105?

## Question:

What are the factors of 105?

## Factors of Whole Numbers

Factors are the numbers that you would multiply together in order to get another number. The number 105 is a composite number, which means it has factors other than 1 and 105.

## Answer and Explanation:

Any numbers that you can multiply together to get 105 are called its factors. Since all numbers can be divided evenly by themselves and by the number 1, this tells us that two of the factors of 105 are 1 and 105; 1 x 105 is equal to 105.

What other factors does 105 have? Since it ends in the number 5, this tells you that 105 has 5 as a factor. Any number that ends in 5 always has 5 as a factor. What can you multiply by 5 to get 105? 21 x 5 is 105. So, 21 and 5 are factors of 5.

You can also get 105 if you multiply 3 x 35 and 7 x 15, so those numbers are also factors of 105.

The factors of 105 are: 1, 3, 5, 7, 15, 21, 35, 105.

#### Learn more about this topic:

from 6th-8th Grade Math: Practice & Review

Chapter 5 / Lesson 7#### Related to this Question

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