Is 71 a prime number?

Prime Number Checker
Number

Is 71 a prime or composite number?

Answer

Number 71 is a Prime

71 has exactly two divisors — 1 and 71 — so it is a prime.

Primes up to √71

8² = 64 ≤ 71 < 81 = 9², so it is enough to try primes up to 8

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

none of the 4 primes up to 8 divides 71 — 71 is prime

Nearest primes: 67 and 73

Related Calculations

See Also

Prime numbers list

NumberIs Prime
56No: 2³ × 7
57No: 3 × 19
58No: 2 × 29
59Yes
60No: 2² × 3 × 5
61Yes
62No: 2 × 31
63No: 3² × 7
64No: 2⁶
65No: 5 × 13
66No: 2 × 3 × 11
67Yes
68No: 2² × 17
69No: 3 × 23
70No: 2 × 5 × 7
71Yes
72No: 2³ × 3²
73Yes
74No: 2 × 37
75No: 3 × 5²
76No: 2² × 19
77No: 7 × 11
78No: 2 × 3 × 13
79Yes
80No: 2⁴ × 5
81No: 3⁴
82No: 2 × 41
83Yes
84No: 2² × 3 × 7
85No: 5 × 17

FAQ

Is 71 a prime or composite number?

Number 71 is a Prime

How many factors are in a number 71?

2

How to check if 71 is prime?

Divide 71 by the primes in order: 8² = 64 ≤ 71 < 81 = 9², so it is enough to try primes up to 8. None of the 4 primes up to 8 divides 71, so 71 is prime.

See Also