Factors of 963 are the list of integers that we can split evenly into 963. There are overall 6 factors of 963 i.e. 1, 3, 9, 107, 321, 963 where 963 is the biggest factor. The Prime Factors of 963 are 3 × 107 and its Factors in Pairs are (1, 963), (3, 321), (9, 107).

• All Factors of 963: 1, 3, 9, 107, 321 and 963
• Negative Factors of 963: -1, -3, -9, -107, -321 and -963
• Prime Factors of 963: 3, 107
• Prime Factorization of 963: 3² × 107¹
• Sum of Factors of 963: 1404

1.	What Are the Factors of 963?
2.	Factors of 963 by Prime Factorization
3.	Factors of 963 in Pairs
4.	FAQs on Factors of 963

Factors of 963 are pairs of those numbers whose products result in 963. These factors are either prime numbers or composite numbers.

How to Find the Factors of 963?

To find the factors of 963, we will have to find the list of numbers that would divide 963 without leaving any remainder.

• 963/321 = 3; therefore, 321 is a factor of 963 and 3 is also a factor of 963.
• 963/107 = 9; therefore, 107 is a factor of 963 and 9 is also a factor of 963.

Similarly we can find other factors. Hence, the factors of 963 are 1, 3, 9, 107, 321, 963.

☛ Also Check:

• Factors of 39 - The factors of 39 are 1, 3, 13, 39
• Factors of 81 - The factors of 81 are 1, 3, 9, 27, 81
• Factors of 180 - The factors of 180 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
• Factors of 72 - The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
• Factors of 42 - The factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42

The number 963 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 963. The first step is to divide the number 963 with the smallest prime factor, here it is 3. We keep dividing until it gives a non-zero remainder.

• 963 ÷ 3 = 321
• 321 ÷ 3 = 107

Further dividing 107 by 3 gives a non-zero remainder. So we stop the process and continue dividing the number 107 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 963 can be written as 3² × 107¹ where 3, 107 are prime.

Pair factors of 963 are the pairs of numbers that when multiplied give the product 963. The factors of 963 in pairs are:

• 1 × 963 = (1, 963)
• 3 × 321 = (3, 321)
• 9 × 107 = (9, 107)

Negative pair factors of 963 are:

• -1 × -963 = (-1, -963)
• -3 × -321 = (-3, -321)
• -9 × -107 = (-9, -107)

NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.