Factors of 5964
The factors of 5964 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 71, 84, 142, 213, 284, 426, 497, 852, 994, 1491, 1988, 2982, 5964. It has 24 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 5964 is a whole number that divides it with nothing left over. You only need to test the numbers up to √5964 ≈ 77.23; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 24 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 16128. Without 5964 itself that is 10164, so 5964 is an abundant number.
LaTeX source of the formulas on this page
\[ 5964 = 2^{2} \times 3 \times 7 \times 71 \]Factor pairs of 5964
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 5964 | 1 × 5964 = 5964 |
| 2 | 2982 | 2 × 2982 = 5964 |
| 3 | 1988 | 3 × 1988 = 5964 |
| 4 | 1491 | 4 × 1491 = 5964 |
| 6 | 994 | 6 × 994 = 5964 |
| 7 | 852 | 7 × 852 = 5964 |
| 12 | 497 | 12 × 497 = 5964 |
| 14 | 426 | 14 × 426 = 5964 |
| 21 | 284 | 21 × 284 = 5964 |
| 28 | 213 | 28 × 213 = 5964 |
| 42 | 142 | 42 × 142 = 5964 |
| 71 | 84 | 71 × 84 = 5964 |
Questions
What are the factors of 5964?
The factors of 5964 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 71, 84, 142, 213, 284, 426, 497, 852, 994, 1491, 1988, 2982, 5964. It has 24 factors.
What are the prime factors of 5964?
2, 3, 7, 71. As a product: × 3 × 7 × 71.
How many factors does 5964 have?
5964 has 24 factors (12 factor pairs).
What is the sum of the factors of 5964?
16128.
Is 5964 a prime number?
No. It is divisible by 2, so 5964 = 2 × 2982.