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Is 23 a prime number?

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Is 23 a prime or composite number?

Answer

Number 23 is a Prime

23 has exactly two divisors — 1 and 23 — so it is a prime.

Primes up to √23

4² = 16 ≤ 23 < 25 = 5², so it is enough to try primes up to 4

÷2 does not divide
÷3 does not divide

none of the 2 primes up to 4 divides 23 — 23 is prime

Nearest primes: 19 and 29

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See Also

Factors of a Number - List all Factors and Factor Pairs of a Number
Prime Factorization - Prime Factorization Calculator
Prime Numbers List - List of all Prime Numbers - how many Prime numbers are between

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Is 23 a prime number? Is 23 a prime number? 23 is a prime number. Check if any number is prime or composite with our free online prime checker.

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Prime numbers list

Number	Is Prime
8	No: 2³
9	No: 3²
10	No: 2 × 5
11	Yes
12	No: 2² × 3
13	Yes
14	No: 2 × 7
15	No: 3 × 5
16	No: 2⁴
17	Yes
18	No: 2 × 3²
19	Yes
20	No: 2² × 5
21	No: 3 × 7
22	No: 2 × 11
23	Yes
24	No: 2³ × 3
25	No: 5²
26	No: 2 × 13
27	No: 3³
28	No: 2² × 7
29	Yes
30	No: 2 × 3 × 5
31	Yes
32	No: 2⁵
33	No: 3 × 11
34	No: 2 × 17
35	No: 5 × 7
36	No: 2² × 3²
37	Yes

FAQ

Is 23 a prime or composite number?

Number 23 is a Prime

How many factors are in a number 23?

2

How to check if 23 is prime?

Divide 23 by the primes in order: 4² = 16 ≤ 23 < 25 = 5², so it is enough to try primes up to 4. None of the 2 primes up to 4 divides 23, so 23 is prime.