Factors of 391
Factors of 391 are the list of integers that we can split evenly into 391. There are 4 factors of 391, which are 1, 17, 23, 391. Here, 391 is the biggest factor. The Prime Factors and Pair Factors of 391 are 17 × 23 and (1, 391), (17, 23) respectively.
- All Factors of 391: 1, 17, 23 and 391
- Negative Factors of 391: -1, -17, -23 and -391
- Prime Factors of 391: 17, 23
- Prime Factorization of 391: 171 × 231
- Sum of Factors of 391: 432
1. | What Are the Factors of 391? |
2. | Factors of 391 by Prime Factorization |
3. | Factors of 391 in Pairs |
4. | FAQs on Factors of 391 |

What are Factors of 391?
Factors of 391 are pairs of those numbers whose products result in 391. These factors are either prime numbers or composite numbers.
How to Find the Factors of 391?
To find the factors of 391, we will have to find the list of numbers that would divide 391 without leaving any remainder.
- 391/23 = 17; therefore, 23 is a factor of 391 and 17 is also a factor of 391.
- 391/1 = 391; therefore, 1 is a factor of 391 and 391 is also a factor of 391.
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Factors of 391 by Prime Factorization
- 391 ÷ 17 = 23
Further dividing 23 by 17 gives a non-zero remainder. So we stop the process and continue dividing the number 23 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 391 can be written as 171 × 231 where 17, 23 are prime.
Factors of 391 in Pairs
Pair factors of 391 are the pairs of numbers that when multiplied give the product 391. The factors of 391 in pairs are:
- 1 × 391 = (1, 391)
- 17 × 23 = (17, 23)
Negative pair factors of 391 are:
- -1 × -391 = (-1, -391)
- -17 × -23 = (-17, -23)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 391 Solved Examples
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Example 1: How many factors are there for 391?
Solution:
The factors of 391 are 1, 17, 23, 391. Therefore, 391 has 4 factors.
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Example 2: Find the LCM and Highest Common Factor (HCF) of 391 and 383.
Solution:
The factors of 391 are 1, 17, 23, 391 and factors of 383 are 1, 383.
Therefore, the LCM of 391 and 383 is 149753 and Highest Common Factor (HCF) of 391 and 383 is 1. -
Example 3: Find if 23, 49 and 391 are factors of 391.
Solution:
When we divide 391 by 49 it leaves a remainder. Therefore, the number 49 is not a factor of 391. All numbers except 49 are factors of 391.
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Example 4: Find the product of all the prime factors of 391.
Solution:
Since, the prime factors of 391 are 17, 23. Therefore, the product of prime factors = 17 × 23 = 391.
FAQs on Factors of 391
What are the Factors of 391?
The factors of 391 are 1, 17, 23, 391 and its negative factors are -1, -17, -23, -391.
What is the Sum of all the Factors of 391?
Since, all factors of 391 are 1, 17, 23, 391 therefore, the sum of its factors is 1 + 17 + 23 + 391 = 432.
What are the Pair Factors of 391?
The pair factors of 391 are (1, 391), (17, 23).
What is the Greatest Common Factor of 391 and 299?
The factors of 391 and 299 are 1, 17, 23, 391 and 1, 13, 23, 299 respectively.
Common factors of 391 and 299 are [1, 23].
Hence, the Greatest Common Factor of 391 and 299 is 23.
What are the Common Factors of 391 and 187?
Since, the factors of 391 are 1, 17, 23, 391 and the factors of 187 are 1, 11, 17, 187.
Hence, [1, 17] are the common factors of 391 and 187.
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