Factors of 3472
The factors of 3472 are 1, 2, 4, 7, 8, 14, 16, 28, 31, 56, 62, 112, 124, 217, 248, 434, 496, 868, 1736, 3472. It has 20 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 3472 is a whole number that divides it with nothing left over. You only need to test the numbers up to √3472 ≈ 58.92; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 20 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 7936. Without 3472 itself that is 4464, so 3472 is an abundant number.
LaTeX source of the formulas on this page
\[ 3472 = 2^{4} \times 7 \times 31 \]Factor pairs of 3472
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 3472 | 1 × 3472 = 3472 |
| 2 | 1736 | 2 × 1736 = 3472 |
| 4 | 868 | 4 × 868 = 3472 |
| 7 | 496 | 7 × 496 = 3472 |
| 8 | 434 | 8 × 434 = 3472 |
| 14 | 248 | 14 × 248 = 3472 |
| 16 | 217 | 16 × 217 = 3472 |
| 28 | 124 | 28 × 124 = 3472 |
| 31 | 112 | 31 × 112 = 3472 |
| 56 | 62 | 56 × 62 = 3472 |
Questions
What are the factors of 3472?
The factors of 3472 are 1, 2, 4, 7, 8, 14, 16, 28, 31, 56, 62, 112, 124, 217, 248, 434, 496, 868, 1736, 3472. It has 20 factors.
What are the prime factors of 3472?
2, 7, 31. As a product: × 7 × 31.
How many factors does 3472 have?
3472 has 20 factors (10 factor pairs).
What is the sum of the factors of 3472?
7936.
Is 3472 a prime number?
No. It is divisible by 2, so 3472 = 2 × 1736.