Factors of 155
Factors of 155 are the list of integers that we can split evenly into 155. There are overall 4 factors of 155 i.e. 1, 5, 31, 155 where 155 is the biggest factor. The Prime Factors of 155 are 5 × 31 and its Factors in Pairs are (1, 155), (5, 31).
- All Factors of 155: 1, 5, 31 and 155
- Negative Factors of 155: -1, -5, -31 and -155
- Prime Factors of 155: 5, 31
- Prime Factorization of 155: 51 × 311
- Sum of Factors of 155: 192
1. | What Are the Factors of 155? |
2. | Factors of 155 by Prime Factorization |
3. | Factors of 155 in Pairs |
4. | FAQs on Factors of 155 |
What are Factors of 155?
Factors of 155 are pairs of those numbers whose products result in 155. These factors are either prime numbers or composite numbers.
How to Find the Factors of 155?
To find the factors of 155, we will have to find the list of numbers that would divide 155 without leaving any remainder.
- 155/5 = 31; therefore, 5 is a factor of 155 and 31 is also a factor of 155.
- 155/1 = 155; therefore, 1 is a factor of 155 and 155 is also a factor of 155.
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- Factors of 38 - The factors of 38 are 1, 2, 19, 38
- Factors of 84 - The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
- Factors of 37 - The factors of 37 are 1, 37
- Factors of 121 - The factors of 121 are 1, 11, 121
Factors of 155 by Prime Factorization
- 155 ÷ 5 = 31
Further dividing 31 by 5 gives a non-zero remainder. So we stop the process and continue dividing the number 31 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 155 can be written as 51 × 311 where 5, 31 are prime.
Factors of 155 in Pairs
Pair factors of 155 are the pairs of numbers that when multiplied give the product 155. The factors of 155 in pairs are:
- 1 × 155 = (1, 155)
- 5 × 31 = (5, 31)
Negative pair factors of 155 are:
- -1 × -155 = (-1, -155)
- -5 × -31 = (-5, -31)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 155 Solved Examples
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Example 1: How many factors are there for 155?
Solution:
The factors of 155 are 1, 5, 31, 155. Therefore, 155 has 4 factors.
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Example 2: Find the Least Common Multiple and Highest Common Factor (HCF) of 155 and 113.
Solution:
The factors of 155 are 1, 5, 31, 155 and factors of 113 are 1, 113.
Therefore, the Least Common Multiple of 155 and 113 is 17515 and Highest Common Factor (HCF) of 155 and 113 is 1. -
Example 3: Find if 1, 5 and 111 are factors of 155.
Solution:
When we divide 155 by 111 it leaves a remainder. Therefore, the number 111 is not a factor of 155. All numbers except 111 are factors of 155.
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Example 4: Find the product of all the prime factors of 155.
Solution:
Since, the prime factors of 155 are 5, 31. Therefore, the product of prime factors = 5 × 31 = 155.
FAQs on Factors of 155
What are the Factors of 155?
The factors of 155 are 1, 5, 31, 155 and its negative factors are -1, -5, -31, -155.
What is the Sum of the Factors of 155?
Factors of 155 are 1, 5, 31, 155 and, the sum of all these factors is 1 + 5 + 31 + 155 = 192
What are Prime Factors of 155?
The prime factors of 155 are 5, 31.
What is the Greatest Common Factor of 155 and 122?
The factors of 155 are 1, 5, 31, 155 and the factors of 122 are 1, 2, 61, 122. 155 and 122 have only one common factor which is 1. This implies that 155 and 122 are co-prime.
Hence, the Greatest Common Factor (GCF) of 155 and 122 is 1.
How Many Factors of 116 are also common to the Factors of 155?
Since, the factors of 155 are 1, 5, 31, 155 and factors of 116 are 1, 2, 4, 29, 58, 116. Hence, 155 and 116 have only one common factor which is 1. Therefore, 155 and 116 are co-prime.
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