Factors of 1079
Factors of 1079 are the list of integers that we can split evenly into 1079. There are 4 factors of 1079 of which 1079 itself is the biggest factor and its positive factors are 1, 13, 83, 1079. The Prime Factors of 1079 are 13 × 83 and its Factors in Pairs are (1, 1079), (13, 83).
- All Factors of 1079: 1, 13, 83 and 1079
- Negative Factors of 1079: -1, -13, -83 and -1079
- Prime Factors of 1079: 13, 83
- Prime Factorization of 1079: 131 × 831
- Sum of Factors of 1079: 1176
1. | What Are the Factors of 1079? |
2. | Factors of 1079 by Prime Factorization |
3. | Factors of 1079 in Pairs |
4. | FAQs on Factors of 1079 |

What are Factors of 1079?
Factors of 1079 are pairs of those numbers whose products result in 1079. These factors are either prime numbers or composite numbers.
How to Find the Factors of 1079?
To find the factors of 1079, we will have to find the list of numbers that would divide 1079 without leaving any remainder.
- 1079/13 = 83; therefore, 13 is a factor of 1079 and 83 is also a factor of 1079.
- 1079/1 = 1079; therefore, 1 is a factor of 1079 and 1079 is also a factor of 1079.
☛ Also Check:
- Factors of 57 - The factors of 57 are 1, 3, 19, 57
- Factors of 39 - The factors of 39 are 1, 3, 13, 39
- Factors of 55 - The factors of 55 are 1, 5, 11, 55
- Factors of 40 - The factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40
- Factors of 8 - The factors of 8 are 1, 2, 4, 8
Factors of 1079 by Prime Factorization
- 1079 ÷ 13 = 83
Further dividing 83 by 13 gives a non-zero remainder. So we stop the process and continue dividing the number 83 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 1079 can be written as 131 × 831 where 13, 83 are prime.
Factors of 1079 in Pairs
Pair factors of 1079 are the pairs of numbers that when multiplied give the product 1079. The factors of 1079 in pairs are:
- 1 × 1079 = (1, 1079)
- 13 × 83 = (13, 83)
Negative pair factors of 1079 are:
- -1 × -1079 = (-1, -1079)
- -13 × -83 = (-13, -83)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 1079 Solved Examples
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Example 1: How many factors are there for 1079?
Solution:
The factors of 1079 are 1, 13, 83, 1079. Therefore, 1079 has 4 factors.
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Example 2: Find the Least Common Multiple (LCM) and Greatest Common Divisor (GCD) of 1079 and 916.
Solution:
The factors of 1079 are 1, 13, 83, 1079 and factors of 916 are 1, 2, 4, 229, 458, 916.
Therefore, the Least Common Multiple (LCM) of 1079 and 916 is 988364 and Greatest Common Divisor (GCD) of 1079 and 916 is 1. -
Example 3: Find if 1, 70 and 83 are factors of 1079.
Solution:
When we divide 1079 by 70 it leaves a remainder. Therefore, the number 70 is not a factor of 1079. All numbers except 70 are factors of 1079.
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Example 4: Find the product of all the prime factors of 1079.
Solution:
Since, the prime factors of 1079 are 13, 83. Therefore, the product of prime factors = 13 × 83 = 1079.
FAQs on Factors of 1079
What are the Factors of 1079?
The factors of 1079 are 1, 13, 83, 1079 and its negative factors are -1, -13, -83, -1079.
What is the Sum of the Factors of 1079?
Since, all factors of 1079 are 1, 13, 83, 1079 therefore, the sum of its factors is 1 + 13 + 83 + 1079 = 1176.
What are Pair Factors of 1079?
The pair factors of 1079 are (1, 1079), (13, 83).
What is the Greatest Common Factor of 1079 and 737?
The factors of 1079 are 1, 13, 83, 1079 and the factors of 737 are 1, 11, 67, 737. 1079 and 737 have only one common factor which is 1. This implies that 1079 and 737 are co-prime.
Hence, the Greatest Common Factor (GCF) of 1079 and 737 is 1.
How Many Factors of 219 are also common to the Factors of 1079?
Since, the factors of 1079 are 1, 13, 83, 1079 and factors of 219 are 1, 3, 73, 219. Hence, 1079 and 219 have only one common factor which is 1. Therefore, 1079 and 219 are co-prime.
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