Factors of 118
Factors of 118 are the list of integers that we can split evenly into 118. There are total 4 factors of 118 i.e. 1, 2, 59, 118. The sum of all factors of 118 is 180 and its factors in Pairs are (1, 118), (2, 59).
- All Factors of 118: 1, 2, 59 and 118
- Negative Factors of 118: -1, -2, -59 and -118
- Prime Factors of 118: 2, 59
- Prime Factorization of 118: 21 × 591
- Sum of Factors of 118: 180
1. | What Are the Factors of 118? |
2. | Factors of 118 by Prime Factorization |
3. | Factors of 118 in Pairs |
4. | FAQs on Factors of 118 |
What are Factors of 118?
Factors of 118 are pairs of those numbers whose products result in 118. These factors are either prime numbers or composite numbers.
How to Find the Factors of 118?
To find the factors of 118, we will have to find the list of numbers that would divide 118 without leaving any remainder.
- 118/2 = 59; therefore, 2 is a factor of 118 and 59 is also a factor of 118.
- 118/118 = 1; therefore, 118 is a factor of 118 and 1 is also a factor of 118.
☛ Also Check:
- Factors of 23 - The factors of 23 are 1, 23
- Factors of 51 - The factors of 51 are 1, 3, 17, 51
- Factors of 7 - The factors of 7 are 1, 7
- Factors of 27 - The factors of 27 are 1, 3, 9, 27
- Factors of 17 - The factors of 17 are 1, 17
Factors of 118 by Prime Factorization
- 118 ÷ 2 = 59
Further dividing 59 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 59 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 118 can be written as 21 × 591 where 2, 59 are prime.
Factors of 118 in Pairs
Pair factors of 118 are the pairs of numbers that when multiplied give the product 118. The factors of 118 in pairs are:
- 1 × 118 = (1, 118)
- 2 × 59 = (2, 59)
Negative pair factors of 118 are:
- -1 × -118 = (-1, -118)
- -2 × -59 = (-2, -59)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 118 Solved Examples
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Example 1: How many factors are there for 118?
Solution:
The factors of 118 are 1, 2, 59, 118. Therefore, 118 has 4 factors.
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Example 2: Find the LCM and Highest Common Factor (HCF) of 118 and 75.
Solution:
The factors of 118 are 1, 2, 59, 118 and factors of 75 are 1, 3, 5, 15, 25, 75.
Therefore, the LCM of 118 and 75 is 8850 and Highest Common Factor (HCF) of 118 and 75 is 1. -
Example 3: Find if 2, 73 and 118 are factors of 118.
Solution:
When we divide 118 by 73 it leaves a remainder. Therefore, the number 73 is not a factor of 118. All numbers except 73 are factors of 118.
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Example 4: Find the product of all the prime factors of 118.
Solution:
Since, the prime factors of 118 are 2, 59. Therefore, the product of prime factors = 2 × 59 = 118.
FAQs on Factors of 118
What are the Factors of 118?
The factors of 118 are 1, 2, 59, 118 and its negative factors are -1, -2, -59, -118.
What is the Sum of the Factors of 118?
Since, all factors of 118 are 1, 2, 59, 118 therefore, the sum of its factors is 1 + 2 + 59 + 118 = 180.
What are Prime Factors of 118?
The prime factors of 118 are 2, 59.
What is the Greatest Common Factor of 118 and 109?
The factors of 118 are 1, 2, 59, 118 and the factors of 109 are 1, 109. 118 and 109 have only one common factor which is 1. This implies that 118 and 109 are co-prime.
Hence, the Greatest Common Factor (GCF) of 118 and 109 is 1.
How Many Factors of 81 are also common to the Factors of 118?
Since, the factors of 118 are 1, 2, 59, 118 and factors of 81 are 1, 3, 9, 27, 81. Hence, 118 and 81 have only one common factor which is 1. Therefore, 118 and 81 are co-prime.
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