Prime Factorization of 800

"Prime Factorization" Calculator

What is the Prime Factorization of 800?

Answer

Prime Factors of 800:

2, 2, 2, 2, 2, 5, 5

800 = 2⁵ × 5² · composite · 18 factors · 7 prime factors counting repeats

Division ladder

800	2
400	2
200	2
100	2
50	2
25	5
5	5
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
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
801	3² × 89
802	2, 401
803	11, 73
804	2² × 3 × 67
805	5, 7, 23
806	2, 13, 31
807	3, 269
808	2³ × 101
809	809
810	2 × 3⁴ × 5
811	811
812	2² × 7 × 29
813	3, 271
814	2, 11, 37

FAQ

What is the Prime Factorization of 800?

Prime Factors of 800: 2, 2, 2, 2, 2, 5, 5

How many prime factors does 800 have?

Number 800 has 7 prime factors counting repeats; 2 different: 2 and 5.

What is the Prime Factorization of 800 in exponential form?

The Prime Factorization of the number 800 in the exponential form is: 2⁵ × 5²