Is 587 a prime number?

Prime Number Checker
Number

Is 587 a prime or composite number?

Answer

Number 587 is a Prime

587 has exactly two divisors — 1 and 587 — so it is a prime.

Primes up to √587

24² = 576 ≤ 587 < 625 = 25², so it is enough to try primes up to 24

  • ÷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 24 divides 587 — 587 is prime

Nearest primes: 577 and 593

Related Calculations

See Also

Prime numbers list

NumberIs Prime
553No: 7 × 79
557Yes
559No: 13 × 43
560No: 2⁴ × 5 × 7
561No: 3 × 11 × 17
563Yes
567No: 3⁴ × 7
569Yes
570No: 2 × 3 × 5 × 19
571Yes
573No: 3 × 191
577Yes
580No: 2² × 5 × 29
581No: 7 × 83
583No: 11 × 53
587Yes
589No: 19 × 31
591No: 3 × 197
593Yes
597No: 3 × 199
599Yes
600No: 2³ × 3 × 5²
601Yes
603No: 3² × 67
605No: 5 × 11²
606No: 2 × 3 × 101
608No: 2⁵ × 19
611No: 13 × 47
613Yes
617Yes

FAQ

Is 587 a prime or composite number?

Number 587 is a Prime

How many factors are in a number 587?

2

How to check if 587 is prime?

Divide 587 by the primes in order: 24² = 576 ≤ 587 < 625 = 25², so it is enough to try primes up to 24. None of the 9 primes up to 24 divides 587, so 587 is prime.

See Also