Prime Factorization of 585

"Prime Factorization" Calculator

What is the Prime Factorization of 585?

Answer

Prime Factors of 585:

3, 3, 5, 13

585 = 3² × 5 × 13 · composite · 12 factors · 4 prime factors counting repeats

Division ladder

585	3
195	3
65	5
13	13
1

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

Second way — factor tree

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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

Recalculate with different values ↑

Prime Factorization Table

Number	Prime Factors
569	569
570	2, 3, 5, 19
571	571
572	2² × 11 × 13
573	3, 191
574	2, 7, 41
575	5² × 23
576	2⁶ × 3²
577	577
578	2 × 17²
580	2² × 5 × 29
581	7, 83
582	2, 3, 97
583	11, 53
584	2³ × 73
585	3² × 5 × 13
586	2, 293
587	587
588	2² × 3 × 7²
589	19, 31
590	2, 5, 59
591	3, 197
592	2⁴ × 37
593	593
594	2 × 3³ × 11
595	5, 7, 17
596	2² × 149
597	3, 199
598	2, 13, 23
599	599

FAQ

What is the Prime Factorization of 585?

Prime Factors of 585: 3, 3, 5, 13

How many prime factors does 585 have?

Number 585 has 4 prime factors counting repeats; 3 different: 3, 5 and 13.

What is the Prime Factorization of 585 in exponential form?

The Prime Factorization of the number 585 in the exponential form is: 3² × 5 × 13