Is 107 a prime number?

Yes, 107 is a prime number. Its only factors are 1 and 107.

How to check that 107 is prime

A number is prime if no smaller prime up to its square root divides it. The square root of 107 is about 10.34, so it is enough to test the primes 2, 3, 5 and 7.

Divide byRemainderDivides evenly?
21No
32No
52No
72No

None of them divides 107 evenly, so 107 is prime.

Quick facts about 107

Is it prime? Nearby numbers

NumberPrime?
103Yes
104No, 2 × 2 × 2 × 13
105No, 3 × 5 × 7
106No, 2 × 53
108No, 2 × 2 × 3 × 3 × 3
109Yes
110No, 2 × 5 × 11
111No, 3 × 37

More about 107: factors of 107 · 107 squared · square root of 107 · 107 in binary · 107 in Roman numerals.

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