Factors of 5952
The factors of 5952 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 32, 48, 62, 64, 93, 96, 124, 186, 192, 248, 372, 496, 744, 992, 1488, 1984, 2976, 5952. It has 28 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 5952 is a whole number that divides it with nothing left over. You only need to test the numbers up to √5952 ≈ 77.15; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 28 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 16256. Without 5952 itself that is 10304, so 5952 is an abundant number.
LaTeX source of the formulas on this page
\[ 5952 = 2^{6} \times 3 \times 31 \]Factor pairs of 5952
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 5952 | 1 × 5952 = 5952 |
| 2 | 2976 | 2 × 2976 = 5952 |
| 3 | 1984 | 3 × 1984 = 5952 |
| 4 | 1488 | 4 × 1488 = 5952 |
| 6 | 992 | 6 × 992 = 5952 |
| 8 | 744 | 8 × 744 = 5952 |
| 12 | 496 | 12 × 496 = 5952 |
| 16 | 372 | 16 × 372 = 5952 |
| 24 | 248 | 24 × 248 = 5952 |
| 31 | 192 | 31 × 192 = 5952 |
| 32 | 186 | 32 × 186 = 5952 |
| 48 | 124 | 48 × 124 = 5952 |
| 62 | 96 | 62 × 96 = 5952 |
| 64 | 93 | 64 × 93 = 5952 |
Questions
What are the factors of 5952?
The factors of 5952 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 32, 48, 62, 64, 93, 96, 124, 186, 192, 248, 372, 496, 744, 992, 1488, 1984, 2976, 5952. It has 28 factors.
What are the prime factors of 5952?
2, 3, 31. As a product: × 3 × 31.
How many factors does 5952 have?
5952 has 28 factors (14 factor pairs).
What is the sum of the factors of 5952?
16256.
Is 5952 a prime number?
No. It is divisible by 2, so 5952 = 2 × 2976.