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Is 189 a prime number?

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Is 189 a prime or composite number?

Answer

Number 189 is not a Prime

189 = 3³ × 7

189 has 8 divisors — 1, 3, 7, 9, 21, 27, 63 and 189; a prime has exactly two: 1 and itself.

Primes up to √189

13² = 169 ≤ 189 < 196 = 14², so it is enough to try primes up to 13

÷2 does not divide
÷3 divides

189 ÷ 3 = 63 — 3 divides 189, so 189 is composite

Nearest primes: 181 and 191

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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 189 a prime number? Is 189 a prime number? 189 is a composite 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
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
187	No: 11 × 17
189	No: 3³ × 7
191	Yes
193	Yes
194	No: 2 × 97
195	No: 3 × 5 × 13
196	No: 2² × 7²
197	Yes
199	Yes
200	No: 2³ × 5²
201	No: 3 × 67
202	No: 2 × 101
203	No: 7 × 29
204	No: 2² × 3 × 17
205	No: 5 × 41
206	No: 2 × 103

FAQ

Is 189 a prime or composite number?

Number 189 is not a Prime

How many factors are in a number 189?

8

How to check if 189 is prime?

Divide 189 by the primes in order: 13² = 169 ≤ 189 < 196 = 14², so it is enough to try primes up to 13. The first one that divides it is 3: 189 ÷ 3 = 63, so 189 is composite.