Factors of 998
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 |

What are 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.
☛ 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
Factors of 998 by Prime Factorization
- 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.
Factors of 998 in Pairs
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.
Factors of 998 Solved Examples
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Example 1: How many factors are there for 998?
Solution:
The factors of 998 are 1, 2, 499, 998. Therefore, 998 has 4 factors.
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Example 2: Find the Lowest Common Multiple (LCM) and Greatest Common Factor (GCF) of 998 and 559.
Solution:
The factors of 998 are 1, 2, 499, 998 and factors of 559 are 1, 13, 43, 559.
Therefore, the Lowest Common Multiple (LCM) of 998 and 559 is 557882 and Greatest Common Factor (GCF) of 998 and 559 is 1. -
Example 3: Find if 206, 499 and 998 are factors of 998.
Solution:
When we divide 998 by 206 it leaves a remainder. Therefore, the number 206 is not a factor of 998. All numbers except 206 are factors of 998.
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Example 4: Find the product of all the prime factors of 998.
Solution:
Since, the prime factors of 998 are 2, 499. Therefore, the product of prime factors = 2 × 499 = 998.
FAQs on Factors of 998
What are the Factors of 998?
The factors of 998 are 1, 2, 499, 998 and its negative factors are -1, -2, -499, -998.
What is the Sum of all Factors of 998?
Factors of 998 are 1, 2, 499, 998 and, the sum of all these factors is 1 + 2 + 499 + 998 = 1500
What are the Prime Factors of 998?
The prime factors of 998 are 2, 499.
What is the Greatest Common Factor of 998 and 678?
The factors of 998 and 678 are 1, 2, 499, 998 and 1, 2, 3, 6, 113, 226, 339, 678 respectively.
Common factors of 998 and 678 are [1, 2].
Hence, the Greatest Common Factor (GCF) of 998 and 678 is 2.
How Many Factors of 998 are also Factors of 185?
Since, the factors of 998 are 1, 2, 499, 998 and factors of 185 are 1, 5, 37, 185. Hence, 998 and 185 have only one common factor which is 1. Therefore, 998 and 185 are co-prime.
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