Prime Factorization of 338

"Prime Factorization" Calculator

What is the Prime Factorization of 338?

Answer

Prime Factors of 338:

2, 13, 13

338 = 2 × 13² · composite · 6 factors · 3 prime factors counting repeats

Division ladder

338	2
169	13
13	13
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
323	17, 19
324	2² × 3⁴
325	5² × 13
326	2, 163
327	3, 109
328	2³ × 41
329	7, 47
330	2, 3, 5, 11
331	331
332	2² × 83
333	3² × 37
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

FAQ

What is the Prime Factorization of 338?

Prime Factors of 338: 2, 13, 13

How many prime factors does 338 have?

Number 338 has 3 prime factors counting repeats; 2 different: 2 and 13.

What is the Prime Factorization of 338 in exponential form?

The Prime Factorization of the number 338 in the exponential form is: 2 × 13²