Is 112 a prime number?
No, 112 is not a prime number. It is divisible by 2: 112 = 2 × 56.
Is 112 prime?
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A prime number has exactly two factors: 1 and itself.
- 2
It is enough to test the primes up to √112 ≈ 10.58. If none of them divides 112, it is prime.
- 3
2 divides 112 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 112 = 2^{4} \times 7 \]Testing 112 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 112 ÷ 2 | divides exactly (56) |
| 3 | 112 ÷ 3 | leaves 1 |
| 5 | 112 ÷ 5 | leaves 2 |
| 7 | 112 ÷ 7 | divides exactly (16) |
Questions
Is 112 a prime number?
No, 112 is not a prime number. It is divisible by 2: 112 = 2 × 56.
What is the next prime after 112?
113.
What is the prime number before 112?
109.
What are the factors of 112?
1, 2, 4, 7, 8, 14, 16, 28, 56, 112.