Factors of 1764
The factors of 1764 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 49, 63, 84, 98, 126, 147, 196, 252, 294, 441, 588, 882, 1764. It has 27 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 1764 is a whole number that divides it with nothing left over. You only need to test the numbers up to √1764 ≈ 42.00; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 27 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 5187. Without 1764 itself that is 3423, so 1764 is an abundant number.
LaTeX source of the formulas on this page
\[ 1764 = 2^{2} \times 3^{2} \times 7^{2} \]Factor pairs of 1764
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 1764 | 1 × 1764 = 1764 |
| 2 | 882 | 2 × 882 = 1764 |
| 3 | 588 | 3 × 588 = 1764 |
| 4 | 441 | 4 × 441 = 1764 |
| 6 | 294 | 6 × 294 = 1764 |
| 7 | 252 | 7 × 252 = 1764 |
| 9 | 196 | 9 × 196 = 1764 |
| 12 | 147 | 12 × 147 = 1764 |
| 14 | 126 | 14 × 126 = 1764 |
| 18 | 98 | 18 × 98 = 1764 |
| 21 | 84 | 21 × 84 = 1764 |
| 28 | 63 | 28 × 63 = 1764 |
| 36 | 49 | 36 × 49 = 1764 |
| 42 | 42 | 42 × 42 = 1764 |
Questions
What are the factors of 1764?
The factors of 1764 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 49, 63, 84, 98, 126, 147, 196, 252, 294, 441, 588, 882, 1764. It has 27 factors.
What are the prime factors of 1764?
2, 3, 7. As a product: × × .
How many factors does 1764 have?
1764 has 27 factors (14 factor pairs, one of them 42 × 42).
What is the sum of the factors of 1764?
5187.
Is 1764 a prime number?
No. It is divisible by 2, so 1764 = 2 × 882.