Factors of 1064
The factors of 1064 are 1, 2, 4, 7, 8, 14, 19, 28, 38, 56, 76, 133, 152, 266, 532, 1064. It has 16 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 1064 is a whole number that divides it with nothing left over. You only need to test the numbers up to √1064 ≈ 32.62; 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 2400. Without 1064 itself that is 1336, so 1064 is an abundant number.
LaTeX source of the formulas on this page
\[ 1064 = 2^{3} \times 7 \times 19 \]Factor pairs of 1064
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 1064 | 1 × 1064 = 1064 |
| 2 | 532 | 2 × 532 = 1064 |
| 4 | 266 | 4 × 266 = 1064 |
| 7 | 152 | 7 × 152 = 1064 |
| 8 | 133 | 8 × 133 = 1064 |
| 14 | 76 | 14 × 76 = 1064 |
| 19 | 56 | 19 × 56 = 1064 |
| 28 | 38 | 28 × 38 = 1064 |
Questions
What are the factors of 1064?
The factors of 1064 are 1, 2, 4, 7, 8, 14, 19, 28, 38, 56, 76, 133, 152, 266, 532, 1064. It has 16 factors.
What are the prime factors of 1064?
2, 7, 19. As a product: × 7 × 19.
How many factors does 1064 have?
1064 has 16 factors (8 factor pairs).
What is the sum of the factors of 1064?
2400.
Is 1064 a prime number?
No. It is divisible by 2, so 1064 = 2 × 532.