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Prime Factorization of 742

"Prime Factorization" Calculator

What is the Prime Factorization of 742?

Answer

Prime Factors of 742:

2, 7, 53

742 = 2 × 7 × 53 · composite · 8 factors

Division ladder

742	2
371	7
53	53
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 742. Prime factorization of 742: 2 × 7 × 53. Break down any number into a product of prime factors online.

https://calculat.io/en/number/prime-factors-of/742/generated.jpg

Prime Factorization Table

Number	Prime Factors
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
751	751
752	2⁴ × 47
753	3, 251
754	2, 13, 29
755	5, 151
756	2² × 3³ × 7
757	757

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FAQ

What is the Prime Factorization of 742?

Prime Factors of 742: 2, 7, 53

How many prime factors does 742 have?

Number 742 has 3 prime factors, all different.

How can you check the prime factorization of 742?

Multiply the factors back together: 2 × 7 × 53 = 742. Every factor is prime, so nothing splits any further and this decomposition is the only one that exists.