Is 513 a prime number?

Prime Number Checker
Number

Is 513 a prime or composite number?

Answer

Number 513 is not a Prime

513 = 3³ × 19

513 has 8 divisors — 1, 3, 9, 19, 27, 57, 171 and 513; a prime has exactly two: 1 and itself.

Primes up to √513

22² = 484 ≤ 513 < 529 = 23², so it is enough to try primes up to 22

  • ÷2 does not divide
  • ÷3 divides

513 ÷ 3 = 171 — 3 divides 513, so 513 is composite

Nearest primes: 509 and 521

Related Calculations

See Also

Prime numbers list

NumberIs Prime
491Yes
492No: 2² × 3 × 41
493No: 17 × 29
495No: 3² × 5 × 11
499Yes
500No: 2² × 5³
501No: 3 × 167
503Yes
504No: 2³ × 3² × 7
505No: 5 × 101
507No: 3 × 13²
508No: 2² × 127
509Yes
511No: 7 × 73
512No: 2⁹
513No: 3³ × 19
514No: 2 × 257
515No: 5 × 103
517No: 11 × 47
518No: 2 × 7 × 37
523Yes
525No: 3 × 5² × 7
527No: 17 × 31
528No: 2⁴ × 3 × 11
529No: 23²
531No: 3² × 59
533No: 13 × 41
537No: 3 × 179
538No: 2 × 269
539No: 7² × 11

FAQ

Is 513 a prime or composite number?

Number 513 is not a Prime

How many factors are in a number 513?

8

How to check if 513 is prime?

Divide 513 by the primes in order: 22² = 484 ≤ 513 < 529 = 23², so it is enough to try primes up to 22. The first one that divides it is 3: 513 ÷ 3 = 171, so 513 is composite.

See Also