Factors of 1988
The factors of 1988 are 1, 2, 4, 7, 14, 28, 71, 142, 284, 497, 994, 1988. It has 12 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 1988 is a whole number that divides it with nothing left over. You only need to test the numbers up to √1988 ≈ 44.59; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 12 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: 1 + 2 + 4 + 7 + 14 + 28 + 71 + 142 + 284 + 497 + 994 + 1988 = 4032. Without 1988 itself that is 2044, so 1988 is an abundant number.
LaTeX source of the formulas on this page
\[ 1988 = 2^{2} \times 7 \times 71 \]Factor pairs of 1988
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 1988 | 1 × 1988 = 1988 |
| 2 | 994 | 2 × 994 = 1988 |
| 4 | 497 | 4 × 497 = 1988 |
| 7 | 284 | 7 × 284 = 1988 |
| 14 | 142 | 14 × 142 = 1988 |
| 28 | 71 | 28 × 71 = 1988 |
Questions
What are the factors of 1988?
The factors of 1988 are 1, 2, 4, 7, 14, 28, 71, 142, 284, 497, 994, 1988. It has 12 factors.
What are the prime factors of 1988?
2, 7, 71. As a product: × 7 × 71.
How many factors does 1988 have?
1988 has 12 factors (6 factor pairs).
What is the sum of the factors of 1988?
4032.
Is 1988 a prime number?
No. It is divisible by 2, so 1988 = 2 × 994.