Factors of 316
Factors of 316 are the list of integers that can be evenly divided into 316. There are total 6 factors of 316 i.e. 1, 2, 4, 79, 158, 316. The Prime Factors of 316 are 2 × 79 and its Factors in Pairs are (1, 316), (2, 158), (4, 79).
- All Factors of 316: 1, 2, 4, 79, 158 and 316
- Negative Factors of 316: -1, -2, -4, -79, -158 and -316
- Prime Factors of 316: 2, 79
- Prime Factorization of 316: 22 × 791
- Sum of Factors of 316: 560
1. | What Are the Factors of 316? |
2. | Factors of 316 by Prime Factorization |
3. | Factors of 316 in Pairs |
4. | FAQs on Factors of 316 |

What are Factors of 316?
Factors of 316 are pairs of those numbers whose products result in 316. These factors are either prime numbers or composite numbers.
How to Find the Factors of 316?
To find the factors of 316, we will have to find the list of numbers that would divide 316 without leaving any remainder.
- 316/316 = 1; therefore, 316 is a factor of 316.
- 316/79 = 4; therefore, 79 is a factor of 316.
☛ Also Check:
- Factors of 5 - The factors of 5 are 1, 5
- Factors of 128 - The factors of 128 are 1, 2, 4, 8, 16, 32, 64, 128
- Factors of 121 - The factors of 121 are 1, 11, 121
- Factors of 90 - The factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
- Factors of 22 - The factors of 22 are 1, 2, 11, 22
Factors of 316 by Prime Factorization
- 316 ÷ 2 = 158
- 158 ÷ 2 = 79
Further dividing 79 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 79 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 316 can be written as 22 × 791 where 2, 79 are prime.
Factors of 316 in Pairs
Pair factors of 316 are the pairs of numbers that when multiplied give the product 316. The factors of 316 in pairs are:
- 1 × 316 = (1, 316)
- 2 × 158 = (2, 158)
- 4 × 79 = (4, 79)
Negative pair factors of 316 are:
- -1 × -316 = (-1, -316)
- -2 × -158 = (-2, -158)
- -4 × -79 = (-4, -79)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 316 Solved Examples
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Example 1: How many factors are there for 316?
Solution:
The factors of 316 are 1, 2, 4, 79, 158, 316. Therefore, 316 has 6 factors.
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Example 2: Find the LCM and Greatest Common Factor (GCF) of 316 and 181.
Solution:
The factors of 316 are 1, 2, 4, 79, 158, 316 and factors of 181 are 1, 181.
Therefore, the LCM of 316 and 181 is 57196 and Greatest Common Factor (GCF) of 316 and 181 is 1. -
Example 3: Find if 4, 90, 158 and 316 are factors of 316.
Solution:
When we divide 316 by 90 it leaves a remainder. Therefore, the number 90 is not a factor of 316. All numbers except 90 are factors of 316.
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Example 4: Find the product of all the prime factors of 316.
Solution:
Since, the prime factors of 316 are 2, 79. Therefore, the product of prime factors = 2 × 79 = 158.
FAQs on Factors of 316
What are the Factors of 316?
The factors of 316 are 1, 2, 4, 79, 158, 316 and its negative factors are -1, -2, -4, -79, -158, -316.
What is the Sum of all Factors of 316?
Factors of 316 are 1, 2, 4, 79, 158, 316 and, the sum of all these factors is 1 + 2 + 4 + 79 + 158 + 316 = 560
What are Pair Factors of 316?
The pair factors of 316 are (1, 316), (2, 158), (4, 79).
What is the Greatest Common Factor of 316 and 189?
The factors of 316 are 1, 2, 4, 79, 158, 316 and the factors of 189 are 1, 3, 7, 9, 21, 27, 63, 189. 316 and 189 have only one common factor which is 1. This implies that 316 and 189 are co-prime.
Hence, the Greatest Common Factor (GCF) of 316 and 189 is 1.
What are the Common Factors of 316 and 166?
Since, the factors of 316 are 1, 2, 4, 79, 158, 316 and the factors of 166 are 1, 2, 83, 166.
Hence, [1, 2] are the common factors of 316 and 166.
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