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# Factors of 54

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 33, where 2 and 3 are the prime numbers.

## Video Lesson on Prime Factors ## 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.

## Frequently Asked Questions – FAQs

### How many factors are there for number 54?

The factors of 54 are 1, 2, 3, 6, 9, 18, 27 and 54. Hence, there are total 8 factors.

### Are the factors and multiples of 54 same?

Factors and multiples of 54 are different and not the same.

### What are the multiples of 54 in Maths?

The first ten multiples of 54 are 54, 108, 162, 216, 270, 324, 378, 432, 486 and 540.

### Which is the highest prime factor of 54?

Prime factorisation of 54 is 2 × 3 × 3 × 3. Therefore, the highest prime factor of 54 is 3.

### What are the positive pair factors of number 54?

The pair factors of whole number 54 are (1, 54), (2, 27), (3, 18), (6, 9).

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