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Is 167 a prime number?

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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

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