Factors of 589
Factors of 589 are the list of integers that we can split evenly into 589. There are overall 4 factors of 589 among which 589 is the biggest factor and 1, 19, 31, 589 are positive factors. The Pair Factors of 589 are (1, 589), (19, 31) and its Prime Factors are 19 × 31.
- All Factors of 589: 1, 19, 31 and 589
- Negative Factors of 589: -1, -19, -31 and -589
- Prime Factors of 589: 19, 31
- Prime Factorization of 589: 191 × 311
- Sum of Factors of 589: 640
1. | What Are the Factors of 589? |
2. | Factors of 589 by Prime Factorization |
3. | Factors of 589 in Pairs |
4. | FAQs on Factors of 589 |

What are Factors of 589?
Factors of 589 are pairs of those numbers whose products result in 589. These factors are either prime numbers or composite numbers.
How to Find the Factors of 589?
To find the factors of 589, we will have to find the list of numbers that would divide 589 without leaving any remainder.
- 589/31 = 19; therefore, 31 is a factor of 589 and 19 is also a factor of 589.
- 589/1 = 589; therefore, 1 is a factor of 589 and 589 is also a factor of 589.
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- Factors of 100 - The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100
Factors of 589 by Prime Factorization
- 589 ÷ 19 = 31
Further dividing 31 by 19 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 589 can be written as 191 × 311 where 19, 31 are prime.
Factors of 589 in Pairs
Pair factors of 589 are the pairs of numbers that when multiplied give the product 589. The factors of 589 in pairs are:
- 1 × 589 = (1, 589)
- 19 × 31 = (19, 31)
Negative pair factors of 589 are:
- -1 × -589 = (-1, -589)
- -19 × -31 = (-19, -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 589 Solved Examples
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Example 1: How many factors are there for 589?
Solution:
The factors of 589 are 1, 19, 31, 589. Therefore, 589 has 4 factors.
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Example 2: Find the LCM and Greatest Common Divisor (GCD) of 589 and 492.
Solution:
The factors of 589 are 1, 19, 31, 589 and factors of 492 are 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492.
Therefore, the LCM of 589 and 492 is 289788 and Greatest Common Divisor (GCD) of 589 and 492 is 1. -
Example 3: Find if 19, 566 and 589 are factors of 589.
Solution:
When we divide 589 by 566 it leaves a remainder. Therefore, the number 566 is not a factor of 589. All numbers except 566 are factors of 589.
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Example 4: Find the product of all the prime factors of 589.
Solution:
Since, the prime factors of 589 are 19, 31. Therefore, the product of prime factors = 19 × 31 = 589.
FAQs on Factors of 589
What are the Factors of 589?
The factors of 589 are 1, 19, 31, 589 and its negative factors are -1, -19, -31, -589.
What is the Sum of all the Factors of 589?
Factors of 589 are 1, 19, 31, 589 and, the sum of all these factors is 1 + 19 + 31 + 589 = 640
What Numbers are the Prime Factors of 589?
The prime factors of 589 are 19, 31.
What is the Greatest Common Factor of 589 and 61?
The factors of 589 are 1, 19, 31, 589 and the factors of 61 are 1, 61. 589 and 61 have only one common factor which is 1. This implies that 589 and 61 are co-prime.
Hence, the Greatest Common Factor (GCF) of 589 and 61 is 1.
How Many Factors of 589 are also Factors of 363?
Since, the factors of 589 are 1, 19, 31, 589 and factors of 363 are 1, 3, 11, 33, 121, 363. Hence, 589 and 363 have only one common factor which is 1. Therefore, 589 and 363 are co-prime.
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