Factors of 129
Factors of 129 are integers that can be divided evenly into 129. There are total 4 factors of 129 i.e. 1, 3, 43, 129. The Pair Factors of 129 are (1, 129), (3, 43) and its Prime Factors are 3 × 43.
- All Factors of 129: 1, 3, 43 and 129
- Negative Factors of 129: -1, -3, -43 and -129
- Prime Factors of 129: 3, 43
- Prime Factorization of 129: 31 × 431
- Sum of Factors of 129: 176
1. | What Are the Factors of 129? |
2. | Factors of 129 by Prime Factorization |
3. | Factors of 129 in Pairs |
4. | FAQs on Factors of 129 |

What are Factors of 129?
Factors of 129 are pairs of those numbers whose products result in 129. These factors are either prime numbers or composite numbers.
How to Find the Factors of 129?
To find the factors of 129, we will have to find the list of numbers that would divide 129 without leaving any remainder.
- 129/3 = 43; therefore, 3 is a factor of 129 and 43 is also a factor of 129.
- 129/1 = 129; therefore, 1 is a factor of 129 and 129 is also a factor of 129.
☛ Also Check:
- Factors of 144 - The factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
- Factors of 33 - The factors of 33 are 1, 3, 11, 33
- Factors of 70 - The factors of 70 are 1, 2, 5, 7, 10, 14, 35, 70
- Factors of 78 - The factors of 78 are 1, 2, 3, 6, 13, 26, 39, 78
- Factors of 84 - The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
Factors of 129 by Prime Factorization
- 129 ÷ 3 = 43
Further dividing 43 by 3 gives a non-zero remainder. So we stop the process and continue dividing the number 43 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 129 can be written as 31 × 431 where 3, 43 are prime.
Factors of 129 in Pairs
Pair factors of 129 are the pairs of numbers that when multiplied give the product 129. The factors of 129 in pairs are:
- 1 × 129 = (1, 129)
- 3 × 43 = (3, 43)
Negative pair factors of 129 are:
- -1 × -129 = (-1, -129)
- -3 × -43 = (-3, -43)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 129 Solved Examples
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Example 1: How many factors are there for 129?
Solution:
The factors of 129 are 1, 3, 43, 129. Therefore, 129 has 4 factors.
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Example 2: Find the LCM and Highest Common Factor (HCF) of 129 and 76.
Solution:
The factors of 129 are 1, 3, 43, 129 and factors of 76 are 1, 2, 4, 19, 38, 76.
Therefore, the LCM of 129 and 76 is 9804 and Highest Common Factor (HCF) of 129 and 76 is 1. -
Example 3: Find if 1, 5 and 43 are factors of 129.
Solution:
When we divide 129 by 5 it leaves a remainder. Therefore, the number 5 is not a factor of 129. All numbers except 5 are factors of 129.
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Example 4: Find the product of all the prime factors of 129.
Solution:
Since, the prime factors of 129 are 3, 43. Therefore, the product of prime factors = 3 × 43 = 129.
FAQs on Factors of 129
What are the Factors of 129?
The factors of 129 are 1, 3, 43, 129 and its negative factors are -1, -3, -43, -129.
What is the Sum of all Factors of 129?
Factors of 129 are 1, 3, 43, 129 and, the sum of all these factors is 1 + 3 + 43 + 129 = 176
What Numbers are the Prime Factors of 129?
The prime factors of 129 are 3, 43.
What is the Greatest Common Factor of 129 and 20?
The factors of 129 are 1, 3, 43, 129 and the factors of 20 are 1, 2, 4, 5, 10, 20. 129 and 20 have only one common factor which is 1. This implies that 129 and 20 are co-prime.
Hence, the Greatest Common Factor (GCF) of 129 and 20 is 1.
How Many Factors of 129 are also common to the Factors of 104?
Since, the factors of 129 are 1, 3, 43, 129 and factors of 104 are 1, 2, 4, 8, 13, 26, 52, 104. Hence, 129 and 104 have only one common factor which is 1. Therefore, 129 and 104 are co-prime.
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