Is 1 a Prime Number?

Is 1 prime?
No
1 = 1 (divisible by 1).
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Why

1 is neither prime nor composite — a prime number must be greater than 1.

A prime number is a whole number greater than 1 whose only factors are 1 and itself. To check 1, test whether any prime up to √1 divides it evenly — if none do, it is prime.

Check another number

The prime factorization calculator tests any number and shows its prime factors and all divisors.

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Frequently asked questions

Is 1 a prime number?+

No, 1 is neither prime nor composite — a prime number must be greater than 1.

What is 1 divisible by?+

1 is divisible by more than just 1 and itself. Its prime factorization is 1 = 1.