Factors of 30
There are 8 factors of 30 — the full list is below, with factor pairs, prime factorization, and divisibility notes.
Factors of 30
1, 2, 3, 5, 6, 10, 15, 30
Factor pairs of 30
- 1 × 30
- 2 × 15
- 3 × 10
- 5 × 6
Prime factorization of 30
30 = 2 × 3 × 5
Number facts
- 30 is a composite number.
- 30 has 8 factors.
- 30 is not a perfect square.
- The sum of all factors of 30 is 72.
Divisibility rules that apply to 30
- 30 is divisible by 2 because it ends in an even digit (0, 2, 4, 6, or 8).
- 30 is divisible by 3 because the sum of its digits (3) is divisible by 3.
- 30 is divisible by 5 because it ends in 0 or 5.
- 30 is divisible by 10 because it ends in 0.
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How the factors of 30 are calculated
To find the factors of 30, every whole number from 1 up to the square root of 30(about 5.48) is tested for even division. 30 is even, and it divides evenly by 2, 3, 5, 6, among others. Written as a product of primes, 30 = 2 × 3 × 5, which confirms every factor above is a combination of those prime building blocks.
Frequently asked questions about 30
How many factors does 30 have?
30 has 8 factors: 1, 2, 3, 5, 6, 10, 15, 30.
Is 30 a prime number?
No. 30 is composite because it has factors other than 1 and itself.
What are the factor pairs of 30?
The factor pairs of 30 are 1 × 30, 2 × 15, 3 × 10, 5 × 6.
What is the prime factorization of 30?
The prime factorization of 30 is 2 × 3 × 5.