Factors of 58
There are 4 factors of 58 — the full list is below, with factor pairs, prime factorization, and divisibility notes.
Factors of 58
1, 2, 29, 58
Factor pairs of 58
- 1 × 58
- 2 × 29
Prime factorization of 58
58 = 2 × 29
Number facts
- 58 is a composite number.
- 58 has 4 factors.
- 58 is not a perfect square.
- The sum of all factors of 58 is 90.
Divisibility rules that apply to 58
- 58 is divisible by 2 because it ends in an even digit (0, 2, 4, 6, or 8).
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How the factors of 58 are calculated
To find the factors of 58, every whole number from 1 up to the square root of 58(about 7.62) is tested for even division. 58 is even, and it divides evenly by 2, 29. Written as a product of primes, 58 = 2 × 29, which confirms every factor above is a combination of those prime building blocks.
Frequently asked questions about 58
How many factors does 58 have?
58 has 4 factors: 1, 2, 29, 58.
Is 58 a prime number?
No. 58 is composite because it has factors other than 1 and itself.
What are the factor pairs of 58?
The factor pairs of 58 are 1 × 58, 2 × 29.
What is the prime factorization of 58?
The prime factorization of 58 is 2 × 29.