Factors of 1488
The factors of 1488 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 48, 62, 93, 124, 186, 248, 372, 496, 744, 1488. It has 20 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 1488 is a whole number that divides it with nothing left over. You only need to test the numbers up to √1488 ≈ 38.57; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 20 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 3968. Without 1488 itself that is 2480, so 1488 is an abundant number.
LaTeX source of the formulas on this page
\[ 1488 = 2^{4} \times 3 \times 31 \]Factor pairs of 1488
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 1488 | 1 × 1488 = 1488 |
| 2 | 744 | 2 × 744 = 1488 |
| 3 | 496 | 3 × 496 = 1488 |
| 4 | 372 | 4 × 372 = 1488 |
| 6 | 248 | 6 × 248 = 1488 |
| 8 | 186 | 8 × 186 = 1488 |
| 12 | 124 | 12 × 124 = 1488 |
| 16 | 93 | 16 × 93 = 1488 |
| 24 | 62 | 24 × 62 = 1488 |
| 31 | 48 | 31 × 48 = 1488 |
Questions
What are the factors of 1488?
The factors of 1488 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 48, 62, 93, 124, 186, 248, 372, 496, 744, 1488. It has 20 factors.
What are the prime factors of 1488?
2, 3, 31. As a product: × 3 × 31.
How many factors does 1488 have?
1488 has 20 factors (10 factor pairs).
What is the sum of the factors of 1488?
3968.
Is 1488 a prime number?
No. It is divisible by 2, so 1488 = 2 × 744.