Factors of 6972
The factors of 6972 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 83, 84, 166, 249, 332, 498, 581, 996, 1162, 1743, 2324, 3486, 6972. It has 24 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 6972 is a whole number that divides it with nothing left over. You only need to test the numbers up to √6972 ≈ 83.50; 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 18816. Without 6972 itself that is 11844, so 6972 is an abundant number.
LaTeX source of the formulas on this page
\[ 6972 = 2^{2} \times 3 \times 7 \times 83 \]Factor pairs of 6972
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 6972 | 1 × 6972 = 6972 |
| 2 | 3486 | 2 × 3486 = 6972 |
| 3 | 2324 | 3 × 2324 = 6972 |
| 4 | 1743 | 4 × 1743 = 6972 |
| 6 | 1162 | 6 × 1162 = 6972 |
| 7 | 996 | 7 × 996 = 6972 |
| 12 | 581 | 12 × 581 = 6972 |
| 14 | 498 | 14 × 498 = 6972 |
| 21 | 332 | 21 × 332 = 6972 |
| 28 | 249 | 28 × 249 = 6972 |
| 42 | 166 | 42 × 166 = 6972 |
| 83 | 84 | 83 × 84 = 6972 |
Questions
What are the factors of 6972?
The factors of 6972 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 83, 84, 166, 249, 332, 498, 581, 996, 1162, 1743, 2324, 3486, 6972. It has 24 factors.
What are the prime factors of 6972?
2, 3, 7, 83. As a product: × 3 × 7 × 83.
How many factors does 6972 have?
6972 has 24 factors (12 factor pairs).
What is the sum of the factors of 6972?
18816.
Is 6972 a prime number?
No. It is divisible by 2, so 6972 = 2 × 3486.