Prime Factorization of 744

"Prime Factorization" Calculator

What is the Prime Factorization of 744?

Answer

Prime Factors of 744:

2, 2, 2, 3, 31

744 = 2³ × 3 × 31 · composite · 16 factors · 5 prime factors counting repeats

Division ladder

744	2
372	2
186	2
93	3
31	31
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
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
753	3, 251
754	2, 13, 29
755	5, 151
756	2² × 3³ × 7
757	757
758	2, 379
759	3, 11, 23
760	2³ × 5 × 19

FAQ

What is the Prime Factorization of 744?

Prime Factors of 744: 2, 2, 2, 3, 31

How many prime factors does 744 have?

Number 744 has 5 prime factors counting repeats; 3 different: 2, 3 and 31.

What is the Prime Factorization of 744 in exponential form?

The Prime Factorization of the number 744 in the exponential form is: 2³ × 3 × 31