Is 112 a prime number?

No, 112 is not a prime number. It is a composite number: it is even, so it is divisible by 2.

Why 112 is not prime

112 has divisors other than 1 and itself. The smallest is 2: 112 ÷ 2 = 56.

Prime factorization: 112 = 2 × 2 × 2 × 2 × 7 = 2⁴ × 7.

Quick facts about 112

Is it prime? Nearby numbers

NumberPrime?
108No, 2 × 2 × 3 × 3 × 3
109Yes
110No, 2 × 5 × 11
111No, 3 × 37
113Yes
114No, 2 × 3 × 19
115No, 5 × 23
116No, 2 × 2 × 29

More about 112: factors of 112 · 112 squared · square root of 112 · 112 in binary · 112 in Roman numerals.

Another number? Use the prime number checker for any value, or see the list of prime numbers.