Factors of 317
Factors of 317 are the list of integers that can be evenly divided into 317. There are 2 factors of 317, which are 1, 317. Here, 317 is the biggest factor. The sum of all factors of 317 is 318 and its factors in Pairs are (1, 317).
- All Factors of 317: 1 and 317
- Negative Factors of 317: -1 and -317
- Prime Factors of 317: 317
- Prime Factorization of 317: 3171
- Sum of Factors of 317: 318
1. | What Are the Factors of 317? |
2. | Factors of 317 by Prime Factorization |
3. | Factors of 317 in Pairs |
4. | FAQs on Factors of 317 |

What are Factors of 317?
Factors of 317 are pairs of those numbers whose products result in 317. These factors are either prime numbers or composite numbers.
How to Find the Factors of 317?
To find the factors of 317, we will have to find the list of numbers that would divide 317 without leaving any remainder.
- 317/317 = 1; therefore, 317 is a factor of 317.
- 317/1 = 317; therefore, 1 is a factor of 317.
☛ Also Check:
- Factors of 17 - The factors of 17 are 1, 17
- Factors of 33 - The factors of 33 are 1, 3, 11, 33
- Factors of 28 - The factors of 28 are 1, 2, 4, 7, 14, 28
- Factors of 11 - The factors of 11 are 1, 11
- Factors of 81 - The factors of 81 are 1, 3, 9, 27, 81
Factors of 317 by Prime Factorization
So, the prime factorization of 317 can be written as 3171 where 317 is prime.
Factors of 317 in Pairs
Pair factors of 317 are the pairs of numbers that when multiplied give the product 317. The factors of 317 in pairs are:
- 1 × 317 = (1, 317)
Negative pair factors of 317 are:
- -1 × -317 = (-1, -317)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 317 Solved Examples
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Example 1: How many factors are there for 317?
Solution:
The factors of 317 are 1, 317. Therefore, 317 has 2 factors.
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Example 2: Find the LCM and Greatest Common Divisor (GCD) of 317 and 116.
Solution:
The factors of 317 are 1, 317 and factors of 116 are 1, 2, 4, 29, 58, 116.
Therefore, the LCM of 317 and 116 is 36772 and Greatest Common Divisor (GCD) of 317 and 116 is 1. -
Example 3: Find if 110 and 317 are factors of 317.
Solution:
When we divide 317 by 110 it leaves a remainder. Therefore, the number 110 is not a factor of 317. All numbers except 110 are factors of 317.
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Example 4: Find the product of all the factors of 317.
Solution:
Since, the factors of 317 are 1, 317. Therefore, the product of factors = 1 × 317 = 317.
FAQs on Factors of 317
What are the Factors of 317?
The factors of 317 are 1, 317 and its negative factors are -1, -317.
What is the Sum of the Factors of 317?
All the Factors of 317 are 1, 317 and therefore the sum of all these factors is 1 + 317 = 318
What are Prime Factors of 317?
The prime factor of 317 is 317.
What is the Greatest Common Factor of 317 and 214?
The factors of 317 are 1, 317 and the factors of 214 are 1, 2, 107, 214. 317 and 214 have only one common factor which is 1. This implies that 317 and 214 are co-prime.
Hence, the Greatest Common Factor (GCF) of 317 and 214 is 1.
How Many Factors of 317 are also common to the Factors of 285?
Since, the factors of 317 are 1, 317 and factors of 285 are 1, 3, 5, 15, 19, 57, 95, 285. Hence, 317 and 285 have only one common factor which is 1. Therefore, 317 and 285 are co-prime.
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