Factors of 998 are the list of integers that we can split evenly into 998. There are total 4 factors of 998 i.e. 1, 2, 499, 998. The Prime Factors and Pair Factors of 998 are 2 × 499 and (1, 998), (2, 499) respectively.

• All Factors of 998: 1, 2, 499 and 998
• Negative Factors of 998: -1, -2, -499 and -998
• Prime Factors of 998: 2, 499
• Prime Factorization of 998: 2¹ × 499¹
• Sum of Factors of 998: 1500

1.	What Are the Factors of 998?
2.	Factors of 998 by Prime Factorization
3.	Factors of 998 in Pairs
4.	FAQs on Factors of 998

Factors of 998 are pairs of those numbers whose products result in 998. These factors are either prime numbers or composite numbers.

How to Find the Factors of 998?

To find the factors of 998, we will have to find the list of numbers that would divide 998 without leaving any remainder.

• 998/499 = 2; therefore, 499 is a factor of 998 and 2 is also a factor of 998.
• 998/998 = 1; therefore, 998 is a factor of 998 and 1 is also a factor of 998.

Similarly we can find other factors. Hence, the factors of 998 are 1, 2, 499, 998.

☛ Also Check:

• Factors of 51 - The factors of 51 are 1, 3, 17, 51
• Factors of 16 - The factors of 16 are 1, 2, 4, 8, 16
• Factors of 37 - The factors of 37 are 1, 37
• Factors of 38 - The factors of 38 are 1, 2, 19, 38
• Factors of 5 - The factors of 5 are 1, 5

The number 998 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 998. The first step is to divide the number 998 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 998 ÷ 2 = 499

Further dividing 499 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 499 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 998 can be written as 2¹ × 499¹ where 2, 499 are prime.

Pair factors of 998 are the pairs of numbers that when multiplied give the product 998. The factors of 998 in pairs are:

• 1 × 998 = (1, 998)
• 2 × 499 = (2, 499)

Negative pair factors of 998 are:

• -1 × -998 = (-1, -998)
• -2 × -499 = (-2, -499)

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