Factors of 3312
The factors of 3312 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 36, 46, 48, 69, 72, 92, 138, 144, 184, 207, 276, 368, 414, 552, 828, 1104, 1656, 3312. It has 30 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 3312 is a whole number that divides it with nothing left over. You only need to test the numbers up to √3312 ≈ 57.55; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 30 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 9672. Without 3312 itself that is 6360, so 3312 is an abundant number.
LaTeX source of the formulas on this page
\[ 3312 = 2^{4} \times 3^{2} \times 23 \]Factor pairs of 3312
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 3312 | 1 × 3312 = 3312 |
| 2 | 1656 | 2 × 1656 = 3312 |
| 3 | 1104 | 3 × 1104 = 3312 |
| 4 | 828 | 4 × 828 = 3312 |
| 6 | 552 | 6 × 552 = 3312 |
| 8 | 414 | 8 × 414 = 3312 |
| 9 | 368 | 9 × 368 = 3312 |
| 12 | 276 | 12 × 276 = 3312 |
| 16 | 207 | 16 × 207 = 3312 |
| 18 | 184 | 18 × 184 = 3312 |
| 23 | 144 | 23 × 144 = 3312 |
| 24 | 138 | 24 × 138 = 3312 |
| 36 | 92 | 36 × 92 = 3312 |
| 46 | 72 | 46 × 72 = 3312 |
| 48 | 69 | 48 × 69 = 3312 |
Questions
What are the factors of 3312?
The factors of 3312 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 36, 46, 48, 69, 72, 92, 138, 144, 184, 207, 276, 368, 414, 552, 828, 1104, 1656, 3312. It has 30 factors.
What are the prime factors of 3312?
2, 3, 23. As a product: × × 23.
How many factors does 3312 have?
3312 has 30 factors (15 factor pairs).
What is the sum of the factors of 3312?
9672.
Is 3312 a prime number?
No. It is divisible by 2, so 3312 = 2 × 1656.