Factors of 3552
The factors of 3552 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 37, 48, 74, 96, 111, 148, 222, 296, 444, 592, 888, 1184, 1776, 3552. It has 24 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 3552 is a whole number that divides it with nothing left over. You only need to test the numbers up to √3552 ≈ 59.60; 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 9576. Without 3552 itself that is 6024, so 3552 is an abundant number.
LaTeX source of the formulas on this page
\[ 3552 = 2^{5} \times 3 \times 37 \]Factor pairs of 3552
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 3552 | 1 × 3552 = 3552 |
| 2 | 1776 | 2 × 1776 = 3552 |
| 3 | 1184 | 3 × 1184 = 3552 |
| 4 | 888 | 4 × 888 = 3552 |
| 6 | 592 | 6 × 592 = 3552 |
| 8 | 444 | 8 × 444 = 3552 |
| 12 | 296 | 12 × 296 = 3552 |
| 16 | 222 | 16 × 222 = 3552 |
| 24 | 148 | 24 × 148 = 3552 |
| 32 | 111 | 32 × 111 = 3552 |
| 37 | 96 | 37 × 96 = 3552 |
| 48 | 74 | 48 × 74 = 3552 |
Questions
What are the factors of 3552?
The factors of 3552 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 37, 48, 74, 96, 111, 148, 222, 296, 444, 592, 888, 1184, 1776, 3552. It has 24 factors.
What are the prime factors of 3552?
2, 3, 37. As a product: × 3 × 37.
How many factors does 3552 have?
3552 has 24 factors (12 factor pairs).
What is the sum of the factors of 3552?
9576.
Is 3552 a prime number?
No. It is divisible by 2, so 3552 = 2 × 1776.