Factors of 131
Factors of 131 are the list of integers that we can split evenly into 131. There are 2 factors of 131, which are 1, 131. Here, 131 is the biggest factor. The sum of all factors of 131 is 132. Its Prime Factors is 131 and (1, 131) are Pair Factors.
- All Factors of 131: 1 and 131
- Negative Factors of 131: -1 and -131
- Prime Factors of 131: 131
- Prime Factorization of 131: 1311
- Sum of Factors of 131: 132
1. | What Are the Factors of 131? |
2. | Factors of 131 by Prime Factorization |
3. | Factors of 131 in Pairs |
4. | FAQs on Factors of 131 |
What are Factors of 131?
Factors of 131 are pairs of those numbers whose products result in 131. These factors are either prime numbers or composite numbers.
How to Find the Factors of 131?
To find the factors of 131, we will have to find the list of numbers that would divide 131 without leaving any remainder.
- 131/1 = 131; therefore, 1 is a factor of 131.
- 131/131 = 1; therefore, 131 is a factor of 131.
☛ Also Check:
- Factors of 12 - The factors of 12 are 1, 2, 3, 4, 6, 12
- Factors of 34 - The factors of 34 are 1, 2, 17, 34
- Factors of 31 - The factors of 31 are 1, 31
- Factors of 37 - The factors of 37 are 1, 37
- Factors of 96 - The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Factors of 131 by Prime Factorization
So, the prime factorization of 131 can be written as 1311 where 131 is prime.
Factors of 131 in Pairs
Pair factors of 131 are the pairs of numbers that when multiplied give the product 131. The factors of 131 in pairs are:
- 1 × 131 = (1, 131)
Negative pair factors of 131 are:
- -1 × -131 = (-1, -131)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 131 Solved Examples
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Example 1: How many factors are there for 131?
Solution:
The factors of 131 are 1, 131. Therefore, 131 has 2 factors.
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Example 2: Find the Least Common Multiple and Highest Common Factor (HCF) of 131 and 66.
Solution:
The factors of 131 are 1, 131 and factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66.
Therefore, the Least Common Multiple of 131 and 66 is 8646 and Highest Common Factor (HCF) of 131 and 66 is 1. -
Example 3: Find if 71 and 131 are factors of 131.
Solution:
When we divide 131 by 71 it leaves a remainder. Therefore, the number 71 is not a factor of 131. All numbers except 71 are factors of 131.
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Example 4: Find the product of all the factors of 131.
Solution:
Since, the factors of 131 are 1, 131. Therefore, the product of factors = 1 × 131 = 131.
FAQs on Factors of 131
What are the Factors of 131?
The factors of 131 are 1, 131 and its negative factors are -1, -131.
What is the Sum of all Factors of 131?
Since, all factors of 131 are 1, 131 therefore, the sum of its factors is 1 + 131 = 132.
What are Pair Factors of 131?
The pair factors of 131 are (1, 131).
What is the Greatest Common Factor of 131 and 77?
The factors of 131 are 1, 131 and the factors of 77 are 1, 7, 11, 77. 131 and 77 have only one common factor which is 1. This implies that 131 and 77 are co-prime.
Hence, the Greatest Common Factor (GCF) of 131 and 77 is 1.
What are the Common Factors of 131 and 31?
Since, the factors of 131 are 1, 131 and factors of 31 are 1, 31. Hence, 131 and 31 have only one common factor which is 1. Therefore, 131 and 31 are co-prime.
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