Factors of 54
There are 8 factors of 54 — the full list is below, with factor pairs, prime factorization, and divisibility notes.
Factors of 54
1, 2, 3, 6, 9, 18, 27, 54
Factor pairs of 54
- 1 × 54
- 2 × 27
- 3 × 18
- 6 × 9
Prime factorization of 54
54 = 2 × 3³
Number facts
- 54 is a composite number.
- 54 has 8 factors.
- 54 is not a perfect square.
- The sum of all factors of 54 is 120.
Divisibility rules that apply to 54
- 54 is divisible by 2 because it ends in an even digit (0, 2, 4, 6, or 8).
- 54 is divisible by 3 because the sum of its digits (9) is divisible by 3.
- 54 is divisible by 9 because the sum of its digits (9) is divisible by 9.
Check another number
How the factors of 54 are calculated
To find the factors of 54, every whole number from 1 up to the square root of 54(about 7.35) is tested for even division. 54 is even, and it divides evenly by 2, 3, 6, 9, among others. Written as a product of primes, 54 = 2 × 3³, which confirms every factor above is a combination of those prime building blocks.
Frequently asked questions about 54
How many factors does 54 have?
54 has 8 factors: 1, 2, 3, 6, 9, 18, 27, 54.
Is 54 a prime number?
No. 54 is composite because it has factors other than 1 and itself.
What are the factor pairs of 54?
The factor pairs of 54 are 1 × 54, 2 × 27, 3 × 18, 6 × 9.
What is the prime factorization of 54?
The prime factorization of 54 is 2 × 3³.