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: 3¹ × 11²
• 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

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.

Similarly we can find other factors. Hence, the factors of 363 are 1, 3, 11, 33, 121, 363.

☛ Also Check:

• Factors of 78 - The factors of 78 are 1, 2, 3, 6, 13, 26, 39, 78
• Factors of 54 - The factors of 54 are 1, 2, 3, 6, 9, 18, 27, 54
• Factors of 27 - The factors of 27 are 1, 3, 9, 27
• Factors of 55 - The factors of 55 are 1, 5, 11, 55
• Factors of 99 - The factors of 99 are 1, 3, 9, 11, 33, 99

The number 363 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 363. The first step is to divide the number 363 with the smallest prime factor, here it is 3. We keep dividing until it gives a non-zero remainder.

• 363 ÷ 3 = 121

Further dividing 121 by 3 gives a non-zero 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 3¹ × 11² where 3, 11 are prime.

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.