Prime Factorization of 361

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What is the Prime Factorization of 361?

Answer

Prime Factors of 361:

19, 19

361 = 19² · composite · 3 factors · 2 prime factors counting repeats

Division ladder

361	19
19	19
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
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
372	2² × 3 × 31
373	373
374	2, 11, 17
375	3 × 5³

FAQ

What is the Prime Factorization of 361?

Prime Factors of 361: 19, 19

How many prime factors does 361 have?

Number 361 has 2 prime factors counting repeats; 1 different: 19.

What is the Prime Factorization of 361 in exponential form?

The Prime Factorization of the number 361 in the exponential form is: 19²