Prime Factorization of 363

"Prime Factorization" Calculator

What is the Prime Factorization of 363?

Answer

Prime Factors of 363:

3, 11, 11

363 = 3 × 11² · composite · 6 factors · 3 prime factors counting repeats

Division ladder

363	3
121	11
11	11
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
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
376	2³ × 47
377	13, 29

FAQ

What is the Prime Factorization of 363?

Prime Factors of 363: 3, 11, 11

How many prime factors does 363 have?

Number 363 has 3 prime factors counting repeats; 2 different: 3 and 11.

What is the Prime Factorization of 363 in exponential form?

The Prime Factorization of the number 363 in the exponential form is: 3 × 11²