Factors of 4032
The factors of 4032 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 56, 63, 64, 72, 84, 96, 112, 126, 144, 168, 192, 224, 252, 288, 336, 448, 504, 576, 672, 1008, 1344, 2016, 4032. It has 42 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 4032 is a whole number that divides it with nothing left over. You only need to test the numbers up to √4032 ≈ 63.50; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 42 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 13208. Without 4032 itself that is 9176, so 4032 is an abundant number.
LaTeX source of the formulas on this page
\[ 4032 = 2^{6} \times 3^{2} \times 7 \]Factor pairs of 4032
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 4032 | 1 × 4032 = 4032 |
| 2 | 2016 | 2 × 2016 = 4032 |
| 3 | 1344 | 3 × 1344 = 4032 |
| 4 | 1008 | 4 × 1008 = 4032 |
| 6 | 672 | 6 × 672 = 4032 |
| 7 | 576 | 7 × 576 = 4032 |
| 8 | 504 | 8 × 504 = 4032 |
| 9 | 448 | 9 × 448 = 4032 |
| 12 | 336 | 12 × 336 = 4032 |
| 14 | 288 | 14 × 288 = 4032 |
| 16 | 252 | 16 × 252 = 4032 |
| 18 | 224 | 18 × 224 = 4032 |
| 21 | 192 | 21 × 192 = 4032 |
| 24 | 168 | 24 × 168 = 4032 |
| 28 | 144 | 28 × 144 = 4032 |
| 32 | 126 | 32 × 126 = 4032 |
| 36 | 112 | 36 × 112 = 4032 |
| 42 | 96 | 42 × 96 = 4032 |
| 48 | 84 | 48 × 84 = 4032 |
| 56 | 72 | 56 × 72 = 4032 |
| 63 | 64 | 63 × 64 = 4032 |
Questions
What are the factors of 4032?
The factors of 4032 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 56, 63, 64, 72, 84, 96, 112, 126, 144, 168, 192, 224, 252, 288, 336, 448, 504, 576, 672, 1008, 1344, 2016, 4032. It has 42 factors.
What are the prime factors of 4032?
2, 3, 7. As a product: × × 7.
How many factors does 4032 have?
4032 has 42 factors (21 factor pairs).
What is the sum of the factors of 4032?
13208.
Is 4032 a prime number?
No. It is divisible by 2, so 4032 = 2 × 2016.