Factors of 54 (Definition, List, Prime Factorization & Examples)

Last updated: December 2025

The factors of 54 are the numbers that divide 54 exactly without leaving any remainder. Understanding the factors of 54 is important in mathematics for simplifying fractions, finding common factors, and solving number problems in exams and daily calculations.

Factors of 54 explained with prime factorization

What Are the Factors of 54?

Factors of 54 are all positive integers that divide the number 54 completely. If a number divides 54 evenly, it is called a factor of 54.

List of Factors of 54

The complete list of factors of 54 is:

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

How to Find the Factors of 54

Method 1: Division Method

In the division method, we divide 54 by natural numbers and check which numbers leave no remainder.

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

So, the factors obtained are 1, 2, 3, 6, 9, 18, 27, and 54.

Method 2: Factor Pair Method

In this method, factors are written in pairs whose product is 54.

  • 1 × 54 = 54
  • 2 × 27 = 54
  • 3 × 18 = 54
  • 6 × 9 = 54

Prime Factorization of 54

Prime factorization means expressing a number as a product of its prime numbers.

54 = 2 × 3 × 3 × 3 = 2 × 3³

Is 54 a Prime or Composite Number?

The number 54 is a composite number because it has more than two factors.

Greatest and Smallest Factor of 54

  • Smallest factor: 1
  • Greatest factor: 54

Examples Using Factors of 54

Example 1

Check whether 9 is a factor of 54.

54 ÷ 9 = 6 (no remainder) → Yes, 9 is a factor of 54.

Example 2

How many factors does 54 have?

The number 54 has 8 factors.

Frequently Asked Questions

How many factors does 54 have?

54 has a total of 8 factors.

Is 54 an even number?

Yes, 54 is an even number because it is divisible by 2.

Is 54 a perfect square?

No, 54 is not a perfect square because it cannot be expressed as the square of an integer.

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