# Prime factorization of 363

Here you will see step by step solution of prime factorization of 363, how to find factors of 363, you will see all factors of 363, how many factors of 363 has? Factors of 363 are 1, 3, 11, 33, 121, 363, we can see that 363 has 6 factor and sum of all factors is 532.

• All Factors of 363: 1, 3, 11, 33, 121, 363
• Prime Factors of 363: 3 × 11 × 11
• Prime Factorization of 363: 31 × 112
• Sum of Factors of 363: 532
• Is 363 prime number: No

### How to find factors of 363 by Division Method?

To find the factors of 363 by division method, we need the find the all numbers between 1 to 363, which divide 363 with 0 remainder, then the number is factor of 363.

### Pair factors of 363

• 363/1 = 363 [ 1 × 363 (1, 363) 1 and 363 is pair factor of 363]
• 363/3 = 121 [ 3 × 121 (3, 121) 3 and 121 is pair factor of 363]
• 363/11 = 33 [ 11 × 33 (11, 33) 11 and 33 is pair factor of 363]
• 363/33 = 11 [ 33 × 11 (33, 11) 33 and 11 is pair factor of 363]
• 363/121 = 3 [ 121 × 3 (121, 3) 121 and 3 is pair factor of 363]
• 363/363 = 1 [ 363 × 1 (363, 1) 363 and 1 is pair factor of 363]

As we checked numbers between 1 to 363 that are not leaving any remainder, hence we can say factors of 363 is 1, 3, 11, 33, 121, 363.

Also note that, in exponential form prime factorization of 363 is written as 31 × 112 and it is a composite number.

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