Prime Factorization of 509

"Prime Factorization" Calculator

What is the prime factorization of 509?

Answer

Prime Factors of 509:

509

509 — prime number: no prime divides it up to √509 ≈ 22.56

Division ladder

509	509
1

Left: what is left; right: the smallest prime that divides it; 1 at the bottom.

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See Also

Factors of a Number - List all Factors and Factor Pairs of a Number
Prime Number Checker - Find out whether a given number is Prime or not
Prime Numbers List - List of all Prime Numbers - how many Prime numbers are between

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Prime Factorization Table

Number	Prime Factors
493	17, 29
494	2, 13, 19
495	3² × 5 × 11
496	2⁴ × 31
497	7, 71
499	499
500	2² × 5³
501	3, 167
502	2, 251
503	503
504	2³ × 3² × 7
505	5, 101
506	2, 11, 23
507	3 × 13²
508	2² × 127
509	509
510	2, 3, 5, 17
511	7, 73
512	2⁹
513	3³ × 19
514	2, 257
515	5, 103
516	2² × 3 × 43
517	11, 47
518	2, 7, 37
519	3, 173
520	2³ × 5 × 13
521	521
522	2 × 3² × 29
523	523

FAQ

What is the prime factorization of 509?

Prime Factors of 509: 509

How many prime factors does 509 have?

Number 509 has 1 prime factor — itself.

Why is the prime factorization of 509 just 509?

509 is a prime number — its only divisors are 1 and 509 — so it cannot be broken down any further. A prime number is its own complete factorization.