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Prime Factorization of 357

"Prime Factorization" Calculator

What is the Prime Factorization of 357?

Answer

Prime Factors of 357:

3, 7, 17

357 = 3 × 7 × 17 · composite · 8 factors

Division ladder

357	3
119	7
17	17
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 357. Prime factorization of 357: 3 × 7 × 17. Break down any number into a product of prime factors online.

https://calculat.io/en/number/prime-factors-of/357/generated.jpg

Prime Factorization Table

Number	Prime Factors
342	2 × 3² × 19
343	7³
344	2³ × 43
345	3, 5, 23
346	2, 173
347	347
348	2² × 3 × 29
349	349
350	2 × 5² × 7
351	3³ × 13
352	2⁵ × 11
353	353
354	2, 3, 59
355	5, 71
356	2² × 89
357	3, 7, 17
358	2, 179
359	359
360	2³ × 3² × 5
361	19²
362	2, 181
363	3 × 11²
364	2² × 7 × 13
365	5, 73
366	2, 3, 61
367	367
368	2⁴ × 23
369	3² × 41
370	2, 5, 37
371	7, 53

Recalculate with different values ↑

FAQ

What is the Prime Factorization of 357?

Prime Factors of 357: 3, 7, 17

How many prime factors does 357 have?

Number 357 has 3 prime factors, all different.

How can you check the prime factorization of 357?

Multiply the factors back together: 3 × 7 × 17 = 357. Every factor is prime, so nothing splits any further and this decomposition is the only one that exists.