Is 167 a prime number?

Prime Number Checker
Number

Is 167 a prime or composite number?

Answer

Number 167 is a Prime

167 has exactly two divisors — 1 and 167 — so it is a prime.

Primes up to √167

12² = 144 ≤ 167 < 169 = 13², so it is enough to try primes up to 12

  • ÷2 does not divide
  • ÷3 does not divide
  • ÷5 does not divide
  • ÷7 does not divide
  • ÷11 does not divide

none of the 5 primes up to 12 divides 167 — 167 is prime

Nearest primes: 163 and 173

Related Calculations

See Also

Prime numbers list

NumberIs Prime
147No: 3 × 7²
148No: 2² × 37
149Yes
150No: 2 × 3 × 5²
151Yes
152No: 2³ × 19
153No: 3² × 17
154No: 2 × 7 × 11
156No: 2² × 3 × 13
157Yes
158No: 2 × 79
159No: 3 × 53
161No: 7 × 23
162No: 2 × 3⁴
163Yes
167Yes
169No: 13²
170No: 2 × 5 × 17
171No: 3² × 19
173Yes
174No: 2 × 3 × 29
175No: 5² × 7
177No: 3 × 59
179Yes
180No: 2² × 3² × 5
181Yes
182No: 2 × 7 × 13
183No: 3 × 61
184No: 2³ × 23
186No: 2 × 3 × 31

FAQ

Is 167 a prime or composite number?

Number 167 is a Prime

How many factors are in a number 167?

2

How to check if 167 is prime?

Divide 167 by the primes in order: 12² = 144 ≤ 167 < 169 = 13², so it is enough to try primes up to 12. None of the 5 primes up to 12 divides 167, so 167 is prime.

See Also