Is 3 a prime number?

Yes, 3 is a prime number. Its only factors are 1 and 3.

How to check that 3 is prime

A number is prime if no smaller prime up to its square root divides it. The square root of 3 is about 1.73, so it is enough to test no divisors at all.

None of them divides 3 evenly, so 3 is prime.

Quick facts about 3

Is it prime? Nearby numbers

NumberPrime?
1No (neither)
2Yes
4No, 2 × 2
5Yes
6No, 2 × 3
7Yes

More about 3: factors of 3 · 3 squared · square root of 3 · 3 in binary · 3 in Roman numerals.

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