Is 83 a prime number?

Yes, 83 is a prime number. Its only factors are 1 and 83.

How to check that 83 is prime

A number is prime if no smaller prime up to its square root divides it. The square root of 83 is about 9.11, so it is enough to test the primes 2, 3, 5 and 7.

Divide byRemainderDivides evenly?
21No
32No
53No
76No

None of them divides 83 evenly, so 83 is prime.

Quick facts about 83

Is it prime? Nearby numbers

NumberPrime?
79Yes
80No, 2 × 2 × 2 × 2 × 5
81No, 3 × 3 × 3 × 3
82No, 2 × 41
84No, 2 × 2 × 3 × 7
85No, 5 × 17
86No, 2 × 43
87No, 3 × 29

More about 83: factors of 83 · 83 squared · square root of 83 · 83 in binary · 83 in Roman numerals.

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