Factors of 7104
The factors of 7104 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 37, 48, 64, 74, 96, 111, 148, 192, 222, 296, 444, 592, 888, 1184, 1776, 2368, 3552, 7104. It has 28 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 7104 is a whole number that divides it with nothing left over. You only need to test the numbers up to √7104 ≈ 84.29; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 28 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 19304. Without 7104 itself that is 12200, so 7104 is an abundant number.
LaTeX source of the formulas on this page
\[ 7104 = 2^{6} \times 3 \times 37 \]Factor pairs of 7104
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 7104 | 1 × 7104 = 7104 |
| 2 | 3552 | 2 × 3552 = 7104 |
| 3 | 2368 | 3 × 2368 = 7104 |
| 4 | 1776 | 4 × 1776 = 7104 |
| 6 | 1184 | 6 × 1184 = 7104 |
| 8 | 888 | 8 × 888 = 7104 |
| 12 | 592 | 12 × 592 = 7104 |
| 16 | 444 | 16 × 444 = 7104 |
| 24 | 296 | 24 × 296 = 7104 |
| 32 | 222 | 32 × 222 = 7104 |
| 37 | 192 | 37 × 192 = 7104 |
| 48 | 148 | 48 × 148 = 7104 |
| 64 | 111 | 64 × 111 = 7104 |
| 74 | 96 | 74 × 96 = 7104 |
Questions
What are the factors of 7104?
The factors of 7104 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 37, 48, 64, 74, 96, 111, 148, 192, 222, 296, 444, 592, 888, 1184, 1776, 2368, 3552, 7104. It has 28 factors.
What are the prime factors of 7104?
2, 3, 37. As a product: × 3 × 37.
How many factors does 7104 have?
7104 has 28 factors (14 factor pairs).
What is the sum of the factors of 7104?
19304.
Is 7104 a prime number?
No. It is divisible by 2, so 7104 = 2 × 3552.