Factors of 590
Factors of 590 are the list of integers that we can split evenly into 590. There are overall 8 factors of 590 among which 590 is the biggest factor and 1, 2, 5, 10, 59, 118, 295, 590 are positive factors. The sum of all factors of 590 is 1080 and its factors in Pairs are (1, 590), (2, 295), (5, 118), (10, 59).
- All Factors of 590: 1, 2, 5, 10, 59, 118, 295 and 590
- Negative Factors of 590: -1, -2, -5, -10, -59, -118, -295 and -590
- Prime Factors of 590: 2, 5, 59
- Prime Factorization of 590: 21 × 51 × 591
- Sum of Factors of 590: 1080
1. | What Are the Factors of 590? |
2. | Factors of 590 by Prime Factorization |
3. | Factors of 590 in Pairs |
4. | FAQs on Factors of 590 |

What are Factors of 590?
Factors of 590 are pairs of those numbers whose products result in 590. These factors are either prime numbers or composite numbers.
How to Find the Factors of 590?
To find the factors of 590, we will have to find the list of numbers that would divide 590 without leaving any remainder.
- 590/59 = 10; therefore, 59 is a factor of 590 and 10 is also a factor of 590.
- 590/295 = 2; therefore, 295 is a factor of 590 and 2 is also a factor of 590.
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Factors of 590 by Prime Factorization
- 590 ÷ 2 = 295
Further dividing 295 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 295 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 590 can be written as 21 × 51 × 591 where 2, 5, 59 are prime.
Factors of 590 in Pairs
Pair factors of 590 are the pairs of numbers that when multiplied give the product 590. The factors of 590 in pairs are:
- 1 × 590 = (1, 590)
- 2 × 295 = (2, 295)
- 5 × 118 = (5, 118)
- 10 × 59 = (10, 59)
Negative pair factors of 590 are:
- -1 × -590 = (-1, -590)
- -2 × -295 = (-2, -295)
- -5 × -118 = (-5, -118)
- -10 × -59 = (-10, -59)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 590 Solved Examples
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Example 1: How many factors are there for 590?
Solution:
The factors of 590 are 1, 2, 5, 10, 59, 118, 295, 590. Therefore, 590 has 8 factors.
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Example 2: Find the Lowest Common Multiple (LCM) and Greatest Common Divisor (GCD) of 590 and 482.
Solution:
The factors of 590 are 1, 2, 5, 10, 59, 118, 295, 590 and factors of 482 are 1, 2, 241, 482.
Therefore, the Lowest Common Multiple (LCM) of 590 and 482 is 142190 and Greatest Common Divisor (GCD) of 590 and 482 is 2. -
Example 3: Find if 1, 2, 118, 343 and 590 are factors of 590.
Solution:
When we divide 590 by 343 it leaves a remainder. Therefore, the number 343 is not a factor of 590. All numbers except 343 are factors of 590.
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Example 4: Find the product of all the prime factors of 590.
Solution:
Since, the prime factors of 590 are 2, 5, 59. Therefore, the product of prime factors = 2 × 5 × 59 = 590.
FAQs on Factors of 590
What are the Factors of 590?
The factors of 590 are 1, 2, 5, 10, 59, 118, 295, 590 and its negative factors are -1, -2, -5, -10, -59, -118, -295, -590.
What is the Sum of all the Factors of 590?
Sum of all factors of 590 = (21 + 1 - 1)/(2 - 1) × (51 + 1 - 1)/(5 - 1) × (591 + 1 - 1)/(59 - 1) = 1080
What are the Prime Factors of 590?
The prime factors of 590 are 2, 5, 59.
What is the Greatest Common Factor of 590 and 448?
The factors of 590 and 448 are 1, 2, 5, 10, 59, 118, 295, 590 and 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448 respectively.
Common factors of 590 and 448 are [1, 2].
Hence, the Greatest Common Factor (GCF) of 590 and 448 is 2.
How Many Factors of 590 are also Factors of 397?
Since, the factors of 590 are 1, 2, 5, 10, 59, 118, 295, 590 and factors of 397 are 1, 397. Hence, 590 and 397 have only one common factor which is 1. Therefore, 590 and 397 are co-prime.
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