Is 677 a prime number?

Prime Number Checker
Number

Is 677 a prime or composite number?

Answer

Number 677 is a Prime

677 has exactly two divisors — 1 and 677 — so it is a prime.

Primes up to √677

26² = 676 ≤ 677 < 729 = 27², so it is enough to try primes up to 26

  • ÷2 does not divide
  • ÷3 does not divide
  • ÷5 does not divide
  • ÷7 does not divide
  • ÷11 does not divide
  • ÷13 does not divide
  • ÷17 does not divide
  • ÷19 does not divide
  • ÷23 does not divide

none of the 9 primes up to 26 divides 677 — 677 is prime

Nearest primes: 673 and 683

Related Calculations

See Also

Prime numbers list

NumberIs Prime
653Yes
659Yes
660No: 2² × 3 × 5 × 11
661Yes
662No: 2 × 331
663No: 3 × 13 × 17
665No: 5 × 7 × 19
666No: 2 × 3² × 37
667No: 23 × 29
668No: 2² × 167
671No: 11 × 61
672No: 2⁵ × 3 × 7
673Yes
674No: 2 × 337
675No: 3³ × 5²
677Yes
678No: 2 × 3 × 113
679No: 7 × 97
681No: 3 × 227
683Yes
684No: 2² × 3² × 19
689No: 13 × 53
690No: 2 × 3 × 5 × 23
691Yes
693No: 3² × 7 × 11
694No: 2 × 347
697No: 17 × 41
698No: 2 × 349
699No: 3 × 233
701Yes

FAQ

Is 677 a prime or composite number?

Number 677 is a Prime

How many factors are in a number 677?

2

How to check if 677 is prime?

Divide 677 by the primes in order: 26² = 676 ≤ 677 < 729 = 27², so it is enough to try primes up to 26. None of the 9 primes up to 26 divides 677, so 677 is prime.

See Also