# What are the factors of 28?

#### Understand the Problem

The question is asking for the factors of the number 28, which means we need to identify all whole numbers that can multiply together to equal 28.

1, 2, 4, 7, 14, 28

The factors of 28 are 1, 2, 4, 7, 14, and 28

#### Steps to Solve

Since 1 is a factor of every number, we start with 1. Since 1 multiplied by 28 equals 28:

$$1 imes 28 = 28$$

So, 1 and 28 are factors.

1. Check the next integer: 2

28 is an even number, meaning it is divisible by 2. Hence, 2 is a factor. Calculate the corresponding factor by dividing 28 by 2:

$$28 \div 2 = 14$$

So, 2 and 14 are factors.

1. Check the next integer: 3

28 is not divisible by 3 since $$28 \div 3 ≠$$ a whole number.

So, 3 is not a factor.

1. Check the next integer: 4

Calculate if 28 is divisible by 4 by dividing 28 by 4:

$$28 \div 4 = 7$$

So, 4 and 7 are factors.

1. Continue checking the next integers up to 7

We already know that we can't have any factors for any whole numbers beyond 7 that haven't been considered (since 1, 2, 4, 7, 14, and 28 cover all possible factor pairs). Hence, no further checks are needed.

The factors of 28 are 1, 2, 4, 7, 14, and 28

Factors are numbers that evenly divide the given number.

#### Tips

A common mistake is not checking all numbers up to the square root of the target number, which ensures all factors are found.

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