# Factors of 28

(Last Updated On: March 24, 2023)
Factors of 28: The factors of 28 are the numbers that can be divided evenly into 28 without leaving a remainder. These factors are:

1, 2, 4, 7, 14, 28

Therefore, the factors of 28 are 1, 2, 4, 7, 14, and 28.

## What Are the Factors of 28?

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The factors of 28 are the numbers that can divide 28 without leaving a remainder. These factors are:

1, 2, 4, 7, 14, and 28

So the factors of 28 are: 1, 2, 4, 7, 14, and 28.

### How To Calculate the Factors of 28?

To calculate the factors of 28, you can use the following method:

1. Make a list of the numbers from 1 to 28.
2. Divide 28 by each number on the list.
3. If the result is a whole number, then that number is a factor of 28.
4. Write down all the whole numbers obtained in step 3 as the factors of 28.

For example:

1. List the numbers from 1 to 28: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28
2. Divide 28 by each number on the list:
• 28 ÷ 1 = 28
• 28 ÷ 2 = 14
• 28 ÷ 3 = 9 with a remainder of 1
• 28 ÷ 4 = 7
• 28 ÷ 5 = 5 with a remainder of 3
• 28 ÷ 6 = 4 with a remainder of 4
• 28 ÷ 7 = 4
• 28 ÷ 8 = 3 with a remainder of 4
• 28 ÷ 9 = 3 with a remainder of 1
• 28 ÷ 10 = 2 with a remainder of 8
• 28 ÷ 11 = 2 with a remainder of 6
• 28 ÷ 12 = 2 with a remainder of 4
• 28 ÷ 13 = 2 with a remainder of 2
• 28 ÷ 14 = 2
• 28 ÷ 15 = 1 with a remainder of 13
• 28 ÷ 16 = 1 with a remainder of 12
• 28 ÷ 17 = 1 with a remainder of 11
• 28 ÷ 18 = 1 with a remainder of 10
• 28 ÷ 19 = 1 with a remainder of 9
• 28 ÷ 20 = 1 with a remainder of 8
• 28 ÷ 21 = 1 with a remainder of 7
• 28 ÷ 22 = 1 with a remainder of 6
• 28 ÷ 23 = 1 with a remainder of 5
• 28 ÷ 24 = 1 with a remainder of 4
• 28 ÷ 25 = 1 with a remainder of 3
• 28 ÷ 26 = 1 with a remainder of 2
• 28 ÷ 27 = 1 with a remainder of 1
• 28 ÷ 28 = 1
3. The whole numbers obtained in step 2 are the factors of 28: 1, 2, 4, 7, 14, and 28.

So the factors of 28 are: 1, 2, 4, 7, 14, and 28.

## Factors of 28 by Prime Factorization

To find the factors of 28 using prime factorization, we first factorize 28 into its prime factors:

28 = 2 x 2 x 7

So the prime factors of 28 are 2 and 7. To find the factors of 28, we can use the following method:

1. List all possible combinations of the prime factors of 28.
• 2 x 2 x 7 = 28
• 2 x 7 = 14
• 2 x 2 = 4
• 7 x 1 = 7
• 2 x 1 = 2
• 1 x 1 x 1 = 1
2. Write down all the unique combinations obtained in step 1.
• 1, 2, 4, 7, 14, 28

Therefore, the factors of 28 using prime factorization are: 1, 2, 4, 7, 14, and 28.

## Factors of 28 in Pairs

We can find the pairs of factors of 28 by listing all the factors and then pairing them up. Since the factors of 28 are: 1, 2, 4, 7, 14, and 28, we can pair them up as follows:

1. Pairing the factors from the outermost positions:
• (1, 28)
• (2, 14)
• (4, 7)
2. Pairing the factors from the innermost positions:
• (1, 2, 14, 28)
• (4, 7)

These are all the pairs of factors of 28. Note that in each pair, the product of the two numbers is 28.

## Positive Factors of 28

The positive factors of 28 are the factors of 28 that are greater than 0.

The factors of 28 are:

1, 2, 4, 7, 14, 28

All of these factors are positive, so the positive factors of 28 are simply the same as the factors of 28:

1, 2, 4, 7, 14, 28

## Negative Factors of 28

Factors are usually defined as positive integers. However, if we allow negative integers, then we can say that the negative factors of 28 are simply the negative integers that divide 28 evenly.

Since every integer divides 0, we can say that 0 is a factor of 28, and therefore, -0 is also a factor of 28. However, -0 is the same as 0, so we don’t consider it as a negative factor of 28.

The negative factors of 28 are:

-1, -2, -4, -7, -14, -28

Note that the absolute value of each of these negative factors is also a positive factor of 28, i.e., |1|, |2|, |4|, |7|, |14|, and |28| are all positive factors of 28

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