Factors of 2772
The factors of 2772 are 1, 2, 3, 4, 6, 7, 9, 11, 12, 14, 18, 21, 22, 28, 33, 36, 42, 44, 63, 66, 77, 84, 99, 126, 132, 154, 198, 231, 252, 308, 396, 462, 693, 924, 1386, 2772. It has 36 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 2772 is a whole number that divides it with nothing left over. You only need to test the numbers up to √2772 ≈ 52.65; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 36 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 8736. Without 2772 itself that is 5964, so 2772 is an abundant number.
LaTeX source of the formulas on this page
\[ 2772 = 2^{2} \times 3^{2} \times 7 \times 11 \]Factor pairs of 2772
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 2772 | 1 × 2772 = 2772 |
| 2 | 1386 | 2 × 1386 = 2772 |
| 3 | 924 | 3 × 924 = 2772 |
| 4 | 693 | 4 × 693 = 2772 |
| 6 | 462 | 6 × 462 = 2772 |
| 7 | 396 | 7 × 396 = 2772 |
| 9 | 308 | 9 × 308 = 2772 |
| 11 | 252 | 11 × 252 = 2772 |
| 12 | 231 | 12 × 231 = 2772 |
| 14 | 198 | 14 × 198 = 2772 |
| 18 | 154 | 18 × 154 = 2772 |
| 21 | 132 | 21 × 132 = 2772 |
| 22 | 126 | 22 × 126 = 2772 |
| 28 | 99 | 28 × 99 = 2772 |
| 33 | 84 | 33 × 84 = 2772 |
| 36 | 77 | 36 × 77 = 2772 |
| 42 | 66 | 42 × 66 = 2772 |
| 44 | 63 | 44 × 63 = 2772 |
Questions
What are the factors of 2772?
The factors of 2772 are 1, 2, 3, 4, 6, 7, 9, 11, 12, 14, 18, 21, 22, 28, 33, 36, 42, 44, 63, 66, 77, 84, 99, 126, 132, 154, 198, 231, 252, 308, 396, 462, 693, 924, 1386, 2772. It has 36 factors.
What are the prime factors of 2772?
2, 3, 7, 11. As a product: × × 7 × 11.
How many factors does 2772 have?
2772 has 36 factors (18 factor pairs).
What is the sum of the factors of 2772?
8736.
Is 2772 a prime number?
No. It is divisible by 2, so 2772 = 2 × 1386.