Factors of 42
There are 8 factors of 42 — the full list is below, with factor pairs, prime factorization, and divisibility notes.
Factors of 42
1, 2, 3, 6, 7, 14, 21, 42
Factor pairs of 42
- 1 × 42
- 2 × 21
- 3 × 14
- 6 × 7
Prime factorization of 42
42 = 2 × 3 × 7
Number facts
- 42 is a composite number.
- 42 has 8 factors.
- 42 is not a perfect square.
- The sum of all factors of 42 is 96.
Divisibility rules that apply to 42
- 42 is divisible by 2 because it ends in an even digit (0, 2, 4, 6, or 8).
- 42 is divisible by 3 because the sum of its digits (6) is divisible by 3.
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How the factors of 42 are calculated
To find the factors of 42, every whole number from 1 up to the square root of 42(about 6.48) is tested for even division. 42 is even, and it divides evenly by 2, 3, 6, 7, among others. Written as a product of primes, 42 = 2 × 3 × 7, which confirms every factor above is a combination of those prime building blocks.
Frequently asked questions about 42
How many factors does 42 have?
42 has 8 factors: 1, 2, 3, 6, 7, 14, 21, 42.
Is 42 a prime number?
No. 42 is composite because it has factors other than 1 and itself.
What are the factor pairs of 42?
The factor pairs of 42 are 1 × 42, 2 × 21, 3 × 14, 6 × 7.
What is the prime factorization of 42?
The prime factorization of 42 is 2 × 3 × 7.