Factors of 987
The factors of 987 are 1, 3, 7, 21, 47, 141, 329, 987. It has 8 factors.
Factors of 987
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 987 is a whole number that divides it with nothing left over. You only need to test the numbers up to √987 ≈ 31.42; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 8 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: 1 + 3 + 7 + 21 + 47 + 141 + 329 + 987 = 1536. Without 987 itself that is 549, so 987 is a deficient number.
LaTeX source of the formulas on this page
\[ 987 = 3 \times 7 \times 47 \]
Factor pairs of 987
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 987 | 1 × 987 = 987 |
| 3 | 329 | 3 × 329 = 987 |
| 7 | 141 | 7 × 141 = 987 |
| 21 | 47 | 21 × 47 = 987 |
Questions
What are the factors of 987?
The factors of 987 are 1, 3, 7, 21, 47, 141, 329, 987. It has 8 factors.
What are the prime factors of 987?
3, 7, 47. As a product: 3 × 7 × 47.
How many factors does 987 have?
987 has 8 factors (4 factor pairs).
What is the sum of the factors of 987?
1536.
Is 987 a prime number?
No. It is divisible by 3, so 987 = 3 × 329.