Prime Factorization of 349

"Prime Factorization" Calculator

What is the Prime Factorization of 349?

Answer

Prime Factors of 349:

349

349 — prime number: no prime divides it up to √349 ≈ 18.68

Division ladder

349	349
1

Left: what is left; right: the smallest prime that divides it; 1 at the bottom.

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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 Factorization Table

Number	Prime Factors
334	2, 167
335	5, 67
336	2⁴ × 3 × 7
337	337
338	2 × 13²
339	3, 113
340	2² × 5 × 17
341	11, 31
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

FAQ

What is the Prime Factorization of 349?

Prime Factors of 349: 349

How many prime factors does 349 have?

Number 349 has 1 prime factor — itself.

Why is the prime factorization of 349 just 349?

349 is a prime number — its only divisors are 1 and 349 — so it cannot be broken down any further. A prime number is its own complete factorization.