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Prime Factorization of 735

"Prime Factorization" Calculator

What is the Prime Factorization of 735?

Answer

Prime Factors of 735:

3, 5, 7, 7

735 = 3 × 5 × 7² · composite · 12 factors · 4 prime factors counting repeats

Division ladder

735	3
245	5
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

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Prime factors of 735. Prime factorization of 735: 3 × 5 × 7 × 7. Break down any number into a product of prime factors online.

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Prime Factorization Table

Number	Prime Factors
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
743	743
744	2³ × 3 × 31
745	5, 149
746	2, 373
748	2² × 11 × 17
749	7, 107
750	2 × 3 × 5³

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FAQ

What is the Prime Factorization of 735?

Prime Factors of 735: 3, 5, 7, 7

How many prime factors does 735 have?

Number 735 has 4 prime factors counting repeats; 3 different: 3, 5 and 7.

What is the Prime Factorization of 735 in exponential form?

The Prime Factorization of the number 735 in the exponential form is: 3 × 5 × 7²