The **factors of 54** are the numbers, that can divide 54 completely or evenly. When a pair of factors are multiplied together to produce the 54, then they are said to be pair factors. The factors divide the number completely. Hence, these factors cannot be a fraction.

Factors of 54: 1,2,3,6,9,18,27 and 54

Factor pairs of the number 54 are the whole numbers which are not a fraction or decimal number. To find the factors of a number, 54, we will use the factorization method.

Some important properties of factors are:

- A factor of any given number is its exact divisor
- For every number, 1 is a factor.
- The factor should be always less than or equal to the number itself
- The number itself is considered as the greatest factor of a number.

## What are the Factors of 54?

The factors of a number are the natural numbers that can divide the original number completely.

Factors of 54 |

1, 2, 3, 6, 9, 18, 27, and 54 |

## How to Calculate Factors of 54?

To find factors of 54, we have to divide 54 by all natural numbers from 1 to 54.

- 54 ÷ 1 = 54
- 54 ÷ 2 = 27
- 54 ÷ 3 = 18
- 54 ÷ 6 = 9

## Prime Factors of 54 By Division Method

The number 54 is a composite and it should have prime factors. Now let us know how to calculate the prime factors of 54.

- The first step is to divide the number 54 with the smallest prime factor, say 2.

54 ÷ 2 = 27

- Again, when you divide 54 by 3, you will get a fractional number and it cannot be a factor and continue with the next prime factor, say 3

27 ÷ 3 = 9

9 ÷ 3 = 3

3 ÷ 3 = 1

- Finally, we received the number 1 at the end of the division process. So that we cannot proceed further. So, the
**prime factors of 54**are written as**2 × 3 × 3 × 3 or 2x 3**^{3}, where 2 and 3 are the prime numbers.

## Pair Factors of 54

To find the pair factors, multiply the two numbers in a pair to get the original number as 54, such numbers are as follows

1 × 54 = 54, (1, 54) is a pair factor of 54.

2 × 27 = 54, (2, 27) is a pair factor of 54

3 × 18 = 54, (3, 18) is a pair factor of 54

6 × 9 = 54, (6, 9) is a pair factor of 54

Therefore, the** positive pair factors are **(1, 54), (2, 27),(3, 18) and (6, 9).

## Solved Examples

**Q.1: There are 54 bananas kept on a table. Mary has to distribute these bananas equally to her three children. How many bananas does each child will get?**

Solution: Number of bananas = 54

Number of children = 3

Each child will get = 54/3 = 18 bananas.

**Q.2: Write two times of all of the factors of 54.**

Solution: Since we know the factors of the number 54 are 1, 2, 3, 6, 9, 18, 27, 54.

Thus, if we multiply 2 by each of the factors we get;

2,4,6,12,18,36,54 and 108

**Q.3: What is the sum of all the factors of 54?**

Solution: 1, 2, 3, 6, 9, 18, 27, 54 are the factors of 54

Now if we add all the factors, then;

1+2+3+6+9+18+27+54 = 120

Stay tuned with BYJU’S to know about factors of 54 and also learn the prime factors of other numbers. To clarify the doubts, watch interactive videos for better understanding.