Factors of 988
Factors of 988 are integers that can be divided evenly into 988. There are 12 factors of 988 of which 988 itself is the biggest factor and its prime factors are 2, 13, 19 The Prime Factorization of 988 is 22 × 131 × 191.
- All Factors of 988: 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494 and 988
- Prime Factors of 988: 2, 13, 19
- Prime Factorization of 988: 22 × 131 × 191
- Sum of Factors of 988: 1960
1. | What Are the Factors of 988? |
2. | Factors of 988 by Prime Factorization |
3. | Factors of 988 in Pairs |
4. | FAQs on Factors of 988 |

What are Factors of 988?
Factors of 988 are pairs of those numbers whose products result in 988. These factors are either prime numbers or composite numbers.
How to Find the Factors of 988?
To find the factors of 988, we will have to find the list of numbers that would divide 988 without leaving any remainder.
- 988/494 = 2; therefore, 494 is a factor of 988 and 2 is also a factor of 988.
- 988/19 = 52; therefore, 19 is a factor of 988 and 52 is also a factor of 988.
☛ Also Check:
- Factors of 45 - The factors of 45 are 1, 3, 5, 9, 15, 45
- Factors of 12 - The factors of 12 are 1, 2, 3, 4, 6, 12
- Factors of 100 - The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100
- Factors of 121 - The factors of 121 are 1, 11, 121
- Factors of 78 - The factors of 78 are 1, 2, 3, 6, 13, 26, 39, 78
Factors of 988 by Prime Factorization
- 988 ÷ 2 = 494
- 494 ÷ 2 = 247
Further dividing 247 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 247 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 988 can be written as 22 × 131 × 191 where 2, 13, 19 are prime.
Factors of 988 in Pairs
Pair factors of 988 are the pairs of numbers that when multiplied give the product 988. The factors of 988 in pairs are:
- 1 × 988 = (1, 988)
- 2 × 494 = (2, 494)
- 4 × 247 = (4, 247)
- 13 × 76 = (13, 76)
- 19 × 52 = (19, 52)
- 26 × 38 = (26, 38)
Negative pair factors of 988 are:
- -1 × -988 = (-1, -988)
- -2 × -494 = (-2, -494)
- -4 × -247 = (-4, -247)
- -13 × -76 = (-13, -76)
- -19 × -52 = (-19, -52)
- -26 × -38 = (-26, -38)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 988 Solved Examples
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Example 1: How many factors are there for 988?
Solution:
The factors of 988 are too many, therefore if we can find the prime factorization of 988, then the total number of factors can be calculated using the formula shown below.
If the prime factorization of the number is ax × by × cz where a, b, c are prime, then the total number of factors can be given by (x + 1)(y + 1)(z + 1).
Prime Factorization of 988 = 22 × 131 × 191
Therefore, the total number of factors are (2 + 1) × (1 + 1) × (1 + 1) = 3 × 2 × 2 = 12 -
Example 2: Find the LCM and Highest Common Factor (HCF) of 988 and 455.
Solution:
The factors of 988 are 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988 and factors of 455 are 1, 5, 7, 13, 35, 65, 91, 455.
Therefore, the LCM of 988 and 455 is 34580 and Highest Common Factor (HCF) of 988 and 455 is 13. -
Example 3: Find if 1, 19, 26, 38, 247, 752 and 988 are factors of 988.
Solution:
When we divide 988 by 752 it leaves a remainder. Therefore, the number 752 is not a factor of 988. All numbers except 752 are factors of 988.
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Example 4: Find the product of all the prime factors of 988.
Solution:
Since, the prime factors of 988 are 2, 13, 19. Therefore, the product of prime factors = 2 × 13 × 19 = 494.
FAQs on Factors of 988
What are the Factors of 988?
The factors of 988 are 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988 and its negative factors are -1, -2, -4, -13, -19, -26, -38, -52, -76, -247, -494, -988.
What is the Sum of Factors of 988?
Sum of all factors of 988 = (22 + 1 - 1)/(2 - 1) × (131 + 1 - 1)/(13 - 1) × (191 + 1 - 1)/(19 - 1) = 1960
What are the Pair Factors of 988?
The pair factors of 988 are (1, 988), (2, 494), (4, 247), (13, 76), (19, 52), (26, 38).
What is the Greatest Common Factor of 988 and 406?
The factors of 988 and 406 are 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988 and 1, 2, 7, 14, 29, 58, 203, 406 respectively.
Common factors of 988 and 406 are [1, 2].
Hence, the Greatest Common Factor (GCF) of 988 and 406 is 2.
How Many Factors of 988 are also common to the Factors of 238?
Since, the factors of 988 are 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988 and the factors of 238 are 1, 2, 7, 14, 17, 34, 119, 238.
Hence, [1, 2] are the common factors of 988 and 238.
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