Factors of 559
Factors of 559 are the list of integers that we can split evenly into 559. There are overall 4 factors of 559 among which 559 is the biggest factor and its positive factors are 1, 13, 43, 559. The sum of all factors of 559 is 616 and its factors in Pairs are (1, 559), (13, 43).
- All Factors of 559: 1, 13, 43 and 559
- Negative Factors of 559: -1, -13, -43 and -559
- Prime Factors of 559: 13, 43
- Prime Factorization of 559: 131 × 431
- Sum of Factors of 559: 616
1. | What Are the Factors of 559? |
2. | Factors of 559 by Prime Factorization |
3. | Factors of 559 in Pairs |
4. | FAQs on Factors of 559 |

What are Factors of 559?
Factors of 559 are pairs of those numbers whose products result in 559. These factors are either prime numbers or composite numbers.
How to Find the Factors of 559?
To find the factors of 559, we will have to find the list of numbers that would divide 559 without leaving any remainder.
- 559/13 = 43; therefore, 13 is a factor of 559 and 43 is also a factor of 559.
- 559/1 = 559; therefore, 1 is a factor of 559 and 559 is also a factor of 559.
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- Factors of 9 - The factors of 9 are 1, 3, 9
- Factors of 81 - The factors of 81 are 1, 3, 9, 27, 81
- Factors of 38 - The factors of 38 are 1, 2, 19, 38
Factors of 559 by Prime Factorization
- 559 ÷ 13 = 43
Further dividing 43 by 13 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 559 can be written as 131 × 431 where 13, 43 are prime.
Factors of 559 in Pairs
Pair factors of 559 are the pairs of numbers that when multiplied give the product 559. The factors of 559 in pairs are:
- 1 × 559 = (1, 559)
- 13 × 43 = (13, 43)
Negative pair factors of 559 are:
- -1 × -559 = (-1, -559)
- -13 × -43 = (-13, -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 559 Solved Examples
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Example 1: How many factors are there for 559?
Solution:
The factors of 559 are 1, 13, 43, 559. Therefore, 559 has 4 factors.
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Example 2: Find the Lowest Common Multiple (LCM) and Greatest Common Factor (GCF) of 559 and 472.
Solution:
The factors of 559 are 1, 13, 43, 559 and factors of 472 are 1, 2, 4, 8, 59, 118, 236, 472.
Therefore, the Lowest Common Multiple (LCM) of 559 and 472 is 263848 and Greatest Common Factor (GCF) of 559 and 472 is 1. -
Example 3: Find if 1, 504 and 559 are factors of 559.
Solution:
When we divide 559 by 504 it leaves a remainder. Therefore, the number 504 is not a factor of 559. All numbers except 504 are factors of 559.
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Example 4: Find the product of all the prime factors of 559.
Solution:
Since, the prime factors of 559 are 13, 43. Therefore, the product of prime factors = 13 × 43 = 559.
FAQs on Factors of 559
What are the Factors of 559?
The factors of 559 are 1, 13, 43, 559 and its negative factors are -1, -13, -43, -559.
What is the Sum of all the Factors of 559?
Factors of 559 are 1, 13, 43, 559 and, the sum of all these factors is 1 + 13 + 43 + 559 = 616
What numbers are the Pair Factors of 559?
The pair factors of 559 are (1, 559), (13, 43).
What is the Greatest Common Factor of 559 and 75?
The factors of 559 are 1, 13, 43, 559 and the factors of 75 are 1, 3, 5, 15, 25, 75. 559 and 75 have only one common factor which is 1. This implies that 559 and 75 are co-prime.
Hence, the Greatest Common Factor (GCF) of 559 and 75 is 1.
How Many Factors of 559 are also common to the Factors of 249?
Since, the factors of 559 are 1, 13, 43, 559 and factors of 249 are 1, 3, 83, 249. Hence, 559 and 249 have only one common factor which is 1. Therefore, 559 and 249 are co-prime.
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