Factors of 115
Factors of 115 are the list of integers that we can split evenly into 115. There are overall 4 factors of 115 among which 115 is the biggest factor and its positive factors are 1, 5, 23, 115. The sum of all factors of 115 is 144. Its Prime Factors are 5 × 23 and (1, 115), (5, 23) are Pair Factors.
- All Factors of 115: 1, 5, 23 and 115
- Negative Factors of 115: -1, -5, -23 and -115
- Prime Factors of 115: 5, 23
- Prime Factorization of 115: 51 × 231
- Sum of Factors of 115: 144
1. | What Are the Factors of 115? |
2. | Factors of 115 by Prime Factorization |
3. | Factors of 115 in Pairs |
4. | FAQs on Factors of 115 |
What are Factors of 115?
Factors of 115 are pairs of those numbers whose products result in 115. These factors are either prime numbers or composite numbers.
How to Find the Factors of 115?
To find the factors of 115, we will have to find the list of numbers that would divide 115 without leaving any remainder.
- 115/23 = 5; therefore, 23 is a factor of 115 and 5 is also a factor of 115.
- 115/115 = 1; therefore, 115 is a factor of 115 and 1 is also a factor of 115.
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- Factors of 56 - The factors of 56 are 1, 2, 4, 7, 8, 14, 28, 56
- Factors of 78 - The factors of 78 are 1, 2, 3, 6, 13, 26, 39, 78
- Factors of 19 - The factors of 19 are 1, 19
- Factors of 75 - The factors of 75 are 1, 3, 5, 15, 25, 75
Factors of 115 by Prime Factorization
- 115 ÷ 5 = 23
Further dividing 23 by 5 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 115 can be written as 51 × 231 where 5, 23 are prime.
Factors of 115 in Pairs
Pair factors of 115 are the pairs of numbers that when multiplied give the product 115. The factors of 115 in pairs are:
- 1 × 115 = (1, 115)
- 5 × 23 = (5, 23)
Negative pair factors of 115 are:
- -1 × -115 = (-1, -115)
- -5 × -23 = (-5, -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 115 Solved Examples
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Example 1: How many factors are there for 115?
Solution:
The factors of 115 are 1, 5, 23, 115. Therefore, 115 has 4 factors.
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Example 2: Find the Lowest Common Multiple (LCM) and Greatest Common Divisor (GCD) of 115 and 68.
Solution:
The factors of 115 are 1, 5, 23, 115 and factors of 68 are 1, 2, 4, 17, 34, 68.
Therefore, the Lowest Common Multiple (LCM) of 115 and 68 is 7820 and Greatest Common Divisor (GCD) of 115 and 68 is 1. -
Example 3: Find if 1, 23 and 98 are factors of 115.
Solution:
When we divide 115 by 98 it leaves a remainder. Therefore, the number 98 is not a factor of 115. All numbers except 98 are factors of 115.
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Example 4: Find the product of all the prime factors of 115.
Solution:
Since, the prime factors of 115 are 5, 23. Therefore, the product of prime factors = 5 × 23 = 115.
FAQs on Factors of 115
What are the Factors of 115?
The factors of 115 are 1, 5, 23, 115 and its negative factors are -1, -5, -23, -115.
What is the Sum of Factors of 115?
Since, all factors of 115 are 1, 5, 23, 115 therefore, the sum of its factors is 1 + 5 + 23 + 115 = 144.
What are Pair Factors of 115?
The pair factors of 115 are (1, 115), (5, 23).
What is the Greatest Common Factor of 115 and 111?
The factors of 115 are 1, 5, 23, 115 and the factors of 111 are 1, 3, 37, 111. 115 and 111 have only one common factor which is 1. This implies that 115 and 111 are co-prime.
Hence, the Greatest Common Factor (GCF) of 115 and 111 is 1.
How Many Factors of 115 are also Factors of 57?
Since, the factors of 115 are 1, 5, 23, 115 and factors of 57 are 1, 3, 19, 57. Hence, 115 and 57 have only one common factor which is 1. Therefore, 115 and 57 are co-prime.
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