Factors of 1664
The factors of 1664 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 128, 208, 416, 832, 1664. It has 16 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 1664 is a whole number that divides it with nothing left over. You only need to test the numbers up to ā1664 ā 40.79; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 16 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 3570. Without 1664 itself that is 1906, so 1664 is an abundant number.
LaTeX source of the formulas on this page
\[ 1664 = 2^{7} \times 13 \]Factor pairs of 1664
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 1664 | 1 Ć 1664 = 1664 |
| 2 | 832 | 2 Ć 832 = 1664 |
| 4 | 416 | 4 Ć 416 = 1664 |
| 8 | 208 | 8 Ć 208 = 1664 |
| 13 | 128 | 13 Ć 128 = 1664 |
| 16 | 104 | 16 Ć 104 = 1664 |
| 26 | 64 | 26 Ć 64 = 1664 |
| 32 | 52 | 32 Ć 52 = 1664 |
Questions
What are the factors of 1664?
The factors of 1664 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 128, 208, 416, 832, 1664. It has 16 factors.
What are the prime factors of 1664?
2, 13. As a product: Ć 13.
How many factors does 1664 have?
1664 has 16 factors (8 factor pairs).
What is the sum of the factors of 1664?
3570.
Is 1664 a prime number?
No. It is divisible by 2, so 1664 = 2 Ć 832.