Is 173 a prime number?

Prime Number Checker
Number

Is 173 a prime or composite number?

Answer

Number 173 is a Prime

173 has exactly two divisors — 1 and 173 — so it is a prime.

Primes up to √173

13² = 169 ≤ 173 < 196 = 14², so it is enough to try primes up to 13

  • ÷2 does not divide
  • ÷3 does not divide
  • ÷5 does not divide
  • ÷7 does not divide
  • ÷11 does not divide
  • ÷13 does not divide

none of the 6 primes up to 13 divides 173 — 173 is prime

Nearest primes: 167 and 179

Related Calculations

See Also

Prime numbers list

NumberIs Prime
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
187No: 11 × 17
189No: 3³ × 7
191Yes
193Yes

FAQ

Is 173 a prime or composite number?

Number 173 is a Prime

How many factors are in a number 173?

2

How to check if 173 is prime?

Divide 173 by the primes in order: 13² = 169 ≤ 173 < 196 = 14², so it is enough to try primes up to 13. None of the 6 primes up to 13 divides 173, so 173 is prime.

See Also