Factors of 87
There are 4 factors of 87 — the full list is below, with factor pairs, prime factorization, and divisibility notes.
Factors of 87
1, 3, 29, 87
Factor pairs of 87
- 1 × 87
- 3 × 29
Prime factorization of 87
87 = 3 × 29
Number facts
- 87 is a composite number.
- 87 has 4 factors.
- 87 is not a perfect square.
- The sum of all factors of 87 is 120.
Divisibility rules that apply to 87
- 87 is divisible by 3 because the sum of its digits (15) is divisible by 3.
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How the factors of 87 are calculated
To find the factors of 87, every whole number from 1 up to the square root of 87(about 9.33) is tested for even division. 87 is odd, and it divides evenly by 3, 29. Written as a product of primes, 87 = 3 × 29, which confirms every factor above is a combination of those prime building blocks.
Frequently asked questions about 87
How many factors does 87 have?
87 has 4 factors: 1, 3, 29, 87.
Is 87 a prime number?
No. 87 is composite because it has factors other than 1 and itself.
What are the factor pairs of 87?
The factor pairs of 87 are 1 × 87, 3 × 29.
What is the prime factorization of 87?
The prime factorization of 87 is 3 × 29.