Prime Factorization of 728

"Prime Factorization" Calculator

What is the Prime Factorization of 728?

Answer

Prime Factors of 728:

2, 2, 2, 7, 13

728 = 2³ × 7 × 13 · composite · 16 factors · 5 prime factors counting repeats

Division ladder

728	2
364	2
182	2
91	7
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
713	23, 31
714	2, 3, 7, 17
715	5, 11, 13
716	2² × 179
717	3, 239
718	2, 359
719	719
720	2⁴ × 3² × 5
721	7, 103
722	2 × 19²
723	3, 241
724	2² × 181
725	5² × 29
726	2 × 3 × 11²
727	727
728	2³ × 7 × 13
729	3⁶
730	2, 5, 73
731	17, 43
732	2² × 3 × 61
733	733
734	2, 367
735	3 × 5 × 7²
736	2⁵ × 23
737	11, 67
738	2 × 3² × 41
739	739
740	2² × 5 × 37
741	3, 13, 19
742	2, 7, 53

FAQ

What is the Prime Factorization of 728?

Prime Factors of 728: 2, 2, 2, 7, 13

How many prime factors does 728 have?

Number 728 has 5 prime factors counting repeats; 3 different: 2, 7 and 13.

What is the Prime Factorization of 728 in exponential form?

The Prime Factorization of the number 728 in the exponential form is: 2³ × 7 × 13