Factors of 159
Factors of 159 are the list of integers that can be evenly divided into 159. There are overall 4 factors of 159 among which 159 is the biggest factor and 1, 3, 53, 159 are positive factors. The sum of all factors of 159 is 216. Its Prime Factors are 3 × 53 and (1, 159), (3, 53) are Pair Factors.
- All Factors of 159: 1, 3, 53 and 159
- Negative Factors of 159: -1, -3, -53 and -159
- Prime Factors of 159: 3, 53
- Prime Factorization of 159: 31 × 531
- Sum of Factors of 159: 216
1. | What Are the Factors of 159? |
2. | Factors of 159 by Prime Factorization |
3. | Factors of 159 in Pairs |
4. | FAQs on Factors of 159 |

What are Factors of 159?
Factors of 159 are pairs of those numbers whose products result in 159. These factors are either prime numbers or composite numbers.
How to Find the Factors of 159?
To find the factors of 159, we will have to find the list of numbers that would divide 159 without leaving any remainder.
- 159/53 = 3; therefore, 53 is a factor of 159 and 3 is also a factor of 159.
- 159/1 = 159; therefore, 1 is a factor of 159 and 159 is also a factor of 159.
☛ Also Check:
- Factors of 75 - The factors of 75 are 1, 3, 5, 15, 25, 75
- Factors of 108 - The factors of 108 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
- Factors of 96 - The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
- Factors of 56 - The factors of 56 are 1, 2, 4, 7, 8, 14, 28, 56
- Factors of 13 - The factors of 13 are 1, 13
Factors of 159 by Prime Factorization
- 159 ÷ 3 = 53
Further dividing 53 by 3 gives a non-zero remainder. So we stop the process and continue dividing the number 53 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 159 can be written as 31 × 531 where 3, 53 are prime.
Factors of 159 in Pairs
Pair factors of 159 are the pairs of numbers that when multiplied give the product 159. The factors of 159 in pairs are:
- 1 × 159 = (1, 159)
- 3 × 53 = (3, 53)
Negative pair factors of 159 are:
- -1 × -159 = (-1, -159)
- -3 × -53 = (-3, -53)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 159 Solved Examples
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Example 1: How many factors are there for 159?
Solution:
The factors of 159 are 1, 3, 53, 159. Therefore, 159 has 4 factors.
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Example 2: Find the Least Common Multiple and Greatest Common Factor (GCF) of 159 and 98.
Solution:
The factors of 159 are 1, 3, 53, 159 and factors of 98 are 1, 2, 7, 14, 49, 98.
Therefore, the Least Common Multiple of 159 and 98 is 15582 and Greatest Common Factor (GCF) of 159 and 98 is 1. -
Example 3: Find if 3, 53 and 90 are factors of 159.
Solution:
When we divide 159 by 90 it leaves a remainder. Therefore, the number 90 is not a factor of 159. All numbers except 90 are factors of 159.
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Example 4: Find the product of all the prime factors of 159.
Solution:
Since, the prime factors of 159 are 3, 53. Therefore, the product of prime factors = 3 × 53 = 159.
FAQs on Factors of 159
What are the Factors of 159?
The factors of 159 are 1, 3, 53, 159 and its negative factors are -1, -3, -53, -159.
What is the Sum of all the Factors of 159?
Factors of 159 are 1, 3, 53, 159 and, the sum of all these factors is 1 + 3 + 53 + 159 = 216
What Numbers are the Prime Factors of 159?
The prime factors of 159 are 3, 53.
What is the Greatest Common Factor of 159 and 88?
The factors of 159 are 1, 3, 53, 159 and the factors of 88 are 1, 2, 4, 8, 11, 22, 44, 88. 159 and 88 have only one common factor which is 1. This implies that 159 and 88 are co-prime.
Hence, the Greatest Common Factor (GCF) of 159 and 88 is 1.
How Many Factors of 159 are also common to the Factors of 61?
Since, the factors of 159 are 1, 3, 53, 159 and factors of 61 are 1, 61. Hence, 159 and 61 have only one common factor which is 1. Therefore, 159 and 61 are co-prime.
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