Prime Factorization of 784

"Prime Factorization" Calculator

What is the Prime Factorization of 784?

Answer

Prime Factors of 784:

2, 2, 2, 2, 7, 7

784 = 2⁴ × 7² · composite · 15 factors · 6 prime factors counting repeats

Division ladder

784	2
392	2
196	2
98	2
49	7
7	7
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
769	769
770	2, 5, 7, 11
771	3, 257
772	2² × 193
773	773
774	2 × 3² × 43
775	5² × 31
776	2³ × 97
777	3, 7, 37
778	2, 389
779	19, 41
780	2² × 3 × 5 × 13
781	11, 71
782	2, 17, 23
783	3³ × 29
784	2⁴ × 7²
785	5, 157
786	2, 3, 131
787	787
788	2² × 197
789	3, 263
790	2, 5, 79
791	7, 113
792	2³ × 3² × 11
793	13, 61
794	2, 397
795	3, 5, 53
796	2² × 199
799	17, 47
800	2⁵ × 5²

FAQ

What is the Prime Factorization of 784?

Prime Factors of 784: 2, 2, 2, 2, 7, 7

How many prime factors does 784 have?

Number 784 has 6 prime factors counting repeats; 2 different: 2 and 7.

What is the Prime Factorization of 784 in exponential form?

The Prime Factorization of the number 784 in the exponential form is: 2⁴ × 7²