Factors and multiples

The comprehension of factors and multiples must be understood to understand pre-algebraic relations.

## Factors

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A factor is a number that can be divided evenly into another given number without leaving a remainder. When a number fits the aforementioned definition, that number is called a factor of the given number.

For example,

* Since  7 ∗ 2 = 14 {\displaystyle 7*2=14} , 7 and 2 are both factors of 14.
* Since  30 6 = 5 {\displaystyle {\frac {30}{6}}\ =5} , 6 and 5 are factors of 30.

Factors come in handy when simplifying equations. The highest factor of a number will always be the number itself and the lowest factor of a number will always be 1.

### Exercises

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Here are some example problems!

Find the value of the variable.

1, 2, 4, 8 are factors of _.

_ =

1, 3, 5, 15 are factors of _.

_ =

1, 2, 4, 7, 14, 28 are factors of _.

_ =

1, 13 are factors of _.

_ =

1, 3, 9, 27 are factors of _.

_ =

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