Prime Factorization of 736

"Prime Factorization" Calculator

What is the Prime Factorization of 736?

Answer

Prime Factors of 736:

2, 2, 2, 2, 2, 23

736 = 2⁵ × 23 · composite · 12 factors · 6 prime factors counting repeats

Division ladder

736	2
368	2
184	2
92	2
46	2
23	23
1

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

Second way — factor tree

Related Calculations

736 to hex

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
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
743	743
744	2³ × 3 × 31
745	5, 149
748	2² × 11 × 17
749	7, 107
750	2 × 3 × 5³
751	751
752	2⁴ × 47

FAQ

What is the Prime Factorization of 736?

Prime Factors of 736: 2, 2, 2, 2, 2, 23

How many prime factors does 736 have?

Number 736 has 6 prime factors counting repeats; 2 different: 2 and 23.

What is the Prime Factorization of 736 in exponential form?

The Prime Factorization of the number 736 in the exponential form is: 2⁵ × 23