Factors of 363
Factors of 363 are the list of integers that we can split evenly into 363. It has a total of 6 factors of which 363 is the biggest factor and the positive factors of 363 are 1, 3, 11, 33, 121, 363. The Pair Factors of 363 are (1, 363), (3, 121), (11, 33) and its Prime Factors are 3 × 11.
 All Factors of 363: 1, 3, 11, 33, 121 and 363
 Negative Factors of 363: 1, 3, 11, 33, 121 and 363
 Prime Factors of 363: 3, 11
 Prime Factorization of 363: 3^{1} × 11^{2}
 Sum of Factors of 363: 532
1.  What Are the Factors of 363? 
2.  Factors of 363 by Prime Factorization 
3.  Factors of 363 in Pairs 
4.  FAQs on Factors of 363 
What are Factors of 363?
Factors of 363 are pairs of those numbers whose products result in 363. These factors are either prime numbers or composite numbers.
How to Find the Factors of 363?
To find the factors of 363, we will have to find the list of numbers that would divide 363 without leaving any remainder.
 363/11 = 33; therefore, 11 is a factor of 363 and 33 is also a factor of 363.
 363/3 = 121; therefore, 3 is a factor of 363 and 121 is also a factor of 363.
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Factors of 363 by Prime Factorization
 363 ÷ 3 = 121
Further dividing 121 by 3 gives a nonzero remainder. So we stop the process and continue dividing the number 121 by the next smallest prime factor. We stop ultimately if the next prime factor doesn't exist or when we can't divide any further.
So, the prime factorization of 363 can be written as 3^{1} × 11^{2} where 3, 11 are prime.
Factors of 363 in Pairs
Pair factors of 363 are the pairs of numbers that when multiplied give the product 363. The factors of 363 in pairs are:
 1 × 363 = (1, 363)
 3 × 121 = (3, 121)
 11 × 33 = (11, 33)
Negative pair factors of 363 are:
 1 × 363 = (1, 363)
 3 × 121 = (3, 121)
 11 × 33 = (11, 33)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 363 Solved Examples

Example 1: How many factors are there for 363?
Solution:
The factors of 363 are 1, 3, 11, 33, 121, 363. Therefore, 363 has 6 factors.

Example 2: Find the LCM and Greatest Common Divisor (GCD) of 363 and 44.
Solution:
The factors of 363 are 1, 3, 11, 33, 121, 363 and factors of 44 are 1, 2, 4, 11, 22, 44.
Therefore, the LCM of 363 and 44 is 1452 and Greatest Common Divisor (GCD) of 363 and 44 is 11. 
Example 3: Find if 3, 11, 262 and 363 are factors of 363.
Solution:
When we divide 363 by 262 it leaves a remainder. Therefore, the number 262 is not a factor of 363. All numbers except 262 are factors of 363.

Example 4: Find the product of all the prime factors of 363.
Solution:
Since, the prime factors of 363 are 3, 11. Therefore, the product of prime factors = 3 × 11 = 33.
FAQs on Factors of 363
What are the Factors of 363?
The factors of 363 are 1, 3, 11, 33, 121, 363 and its negative factors are 1, 3, 11, 33, 121, 363.
What is the Sum of all Factors of 363?
All the Factors of 363 are 1, 3, 11, 33, 121, 363 and therefore the sum of all these factors is 1 + 3 + 11 + 33 + 121 + 363 = 532
What Numbers are the Prime Factors of 363?
The prime factors of 363 are 3, 11.
What is the Greatest Common Factor of 363 and 355?
The factors of 363 are 1, 3, 11, 33, 121, 363 and the factors of 355 are 1, 5, 71, 355. 363 and 355 have only one common factor which is 1. This implies that 363 and 355 are coprime.
Hence, the Greatest Common Factor (GCF) of 363 and 355 is 1.
How Many Factors of 225 are also common to the Factors of 363?
Since, the factors of 363 are 1, 3, 11, 33, 121, 363 and the factors of 225 are 1, 3, 5, 9, 15, 25, 45, 75, 225.
Hence, [1, 3] are the common factors of 363 and 225.
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