Factors of 112
The factors of 112 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 112. It has 10 factors.
Factors of 112
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 112 is a whole number that divides it with nothing left over. You only need to test the numbers up to ā112 ā 10.58; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 10 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: 1 + 2 + 4 + 7 + 8 + 14 + 16 + 28 + 56 + 112 = 248. Without 112 itself that is 136, so 112 is an abundant number.
LaTeX source of the formulas on this page
\[ 112 = 2^{4} \times 7 \]Factor pairs of 112
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 112 | 1 Ć 112 = 112 |
| 2 | 56 | 2 Ć 56 = 112 |
| 4 | 28 | 4 Ć 28 = 112 |
| 7 | 16 | 7 Ć 16 = 112 |
| 8 | 14 | 8 Ć 14 = 112 |
Questions
What are the factors of 112?
The factors of 112 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 112. It has 10 factors.
What are the prime factors of 112?
2, 7. As a product: Ć 7.
How many factors does 112 have?
112 has 10 factors (5 factor pairs).
What is the sum of the factors of 112?
248.
Is 112 a prime number?
No. It is divisible by 2, so 112 = 2 Ć 56.