Factors of 996 are numbers that, when multiplied in pairs give the product as 996. There are 12 factors of 996, of which the following are its prime factors 2, 3, 83. The Prime Factorization of 996 is 2² × 3¹ × 83¹.

• All Factors of 996: 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498 and 996
• Prime Factors of 996: 2, 3, 83
• Prime Factorization of 996: 2² × 3¹ × 83¹
• Sum of Factors of 996: 2352

1.	What Are the Factors of 996?
2.	Factors of 996 by Prime Factorization
3.	Factors of 996 in Pairs
4.	FAQs on Factors of 996

Factors of 996 are pairs of those numbers whose products result in 996. These factors are either prime numbers or composite numbers.

How to Find the Factors of 996?

To find the factors of 996, we will have to find the list of numbers that would divide 996 without leaving any remainder.

• 996/4 = 249; therefore, 4 is a factor of 996 and 249 is also a factor of 996.
• 996/12 = 83; therefore, 12 is a factor of 996 and 83 is also a factor of 996.

Similarly we can find other factors. Hence, the factors of 996 are 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996.

☛ Also Check:

• Factors of 48 - The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
• Factors of 91 - The factors of 91 are 1, 7, 13, 91
• Factors of 31 - The factors of 31 are 1, 31
• Factors of 26 - The factors of 26 are 1, 2, 13, 26
• Factors of 21 - The factors of 21 are 1, 3, 7, 21

The number 996 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 996. The first step is to divide the number 996 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 996 ÷ 2 = 498
• 498 ÷ 2 = 249

Further dividing 249 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 249 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 996 can be written as 2² × 3¹ × 83¹ where 2, 3, 83 are prime.

Pair factors of 996 are the pairs of numbers that when multiplied give the product 996. The factors of 996 in pairs are:

• 1 × 996 = (1, 996)
• 2 × 498 = (2, 498)
• 3 × 332 = (3, 332)
• 4 × 249 = (4, 249)
• 6 × 166 = (6, 166)
• 12 × 83 = (12, 83)

Negative pair factors of 996 are:

• -1 × -996 = (-1, -996)
• -2 × -498 = (-2, -498)
• -3 × -332 = (-3, -332)
• -4 × -249 = (-4, -249)
• -6 × -166 = (-6, -166)
• -12 × -83 = (-12, -83)

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