Factors of 531
Factors of 531 are the list of integers that we can split evenly into 531. There are overall 6 factors of 531 among which 531 is the biggest factor and 1, 3, 9, 59, 177, 531 are positive factors. The Prime Factors and Pair Factors of 531 are 3 × 59 and (1, 531), (3, 177), (9, 59) respectively.
- All Factors of 531: 1, 3, 9, 59, 177 and 531
- Negative Factors of 531: -1, -3, -9, -59, -177 and -531
- Prime Factors of 531: 3, 59
- Prime Factorization of 531: 32 × 591
- Sum of Factors of 531: 780
1. | What Are the Factors of 531? |
2. | Factors of 531 by Prime Factorization |
3. | Factors of 531 in Pairs |
4. | FAQs on Factors of 531 |
![Factors of 531](https://static.qumath.in/static/website/old-cdn-static/factors/factors-of-531.png)
What are Factors of 531?
Factors of 531 are pairs of those numbers whose products result in 531. These factors are either prime numbers or composite numbers.
How to Find the Factors of 531?
To find the factors of 531, we will have to find the list of numbers that would divide 531 without leaving any remainder.
- 531/177 = 3; therefore, 177 is a factor of 531 and 3 is also a factor of 531.
- 531/59 = 9; therefore, 59 is a factor of 531 and 9 is also a factor of 531.
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Factors of 531 by Prime Factorization
- 531 ÷ 3 = 177
- 177 ÷ 3 = 59
Further dividing 59 by 3 gives a non-zero remainder. So we stop the process and continue dividing the number 59 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 531 can be written as 32 × 591 where 3, 59 are prime.
Factors of 531 in Pairs
Pair factors of 531 are the pairs of numbers that when multiplied give the product 531. The factors of 531 in pairs are:
- 1 × 531 = (1, 531)
- 3 × 177 = (3, 177)
- 9 × 59 = (9, 59)
Negative pair factors of 531 are:
- -1 × -531 = (-1, -531)
- -3 × -177 = (-3, -177)
- -9 × -59 = (-9, -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 531 Solved Examples
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Example 1: How many factors are there for 531?
Solution:
The factors of 531 are 1, 3, 9, 59, 177, 531. Therefore, 531 has 6 factors.
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Example 2: Find the Least Common Multiple (LCM) and Greatest Common Factor (GCF) of 531 and 525.
Solution:
The factors of 531 are 1, 3, 9, 59, 177, 531 and factors of 525 are 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525.
Therefore, the Least Common Multiple (LCM) of 531 and 525 is 92925 and Greatest Common Factor (GCF) of 531 and 525 is 3. -
Example 3: Find if 9, 177, 356 and 531 are factors of 531.
Solution:
When we divide 531 by 356 it leaves a remainder. Therefore, the number 356 is not a factor of 531. All numbers except 356 are factors of 531.
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Example 4: Find the product of all the prime factors of 531.
Solution:
Since, the prime factors of 531 are 3, 59. Therefore, the product of prime factors = 3 × 59 = 177.
FAQs on Factors of 531
What are the Factors of 531?
The factors of 531 are 1, 3, 9, 59, 177, 531 and its negative factors are -1, -3, -9, -59, -177, -531.
What is the Sum of all the Factors of 531?
Factors of 531 are 1, 3, 9, 59, 177, 531 and, the sum of all these factors is 1 + 3 + 9 + 59 + 177 + 531 = 780
What are the Pair Factors of 531?
The pair factors of 531 are (1, 531), (3, 177), (9, 59).
What is the Greatest Common Factor of 531 and 465?
The factors of 531 and 465 are 1, 3, 9, 59, 177, 531 and 1, 3, 5, 15, 31, 93, 155, 465 respectively.
Common factors of 531 and 465 are [1, 3].
Hence, the Greatest Common Factor (GCF) of 531 and 465 is 3.
How Many Factors of 387 are also common to the Factors of 531?
Since, the factors of 531 are 1, 3, 9, 59, 177, 531 and the factors of 387 are 1, 3, 9, 43, 129, 387.
Hence, [1, 3, 9] are the common factors of 531 and 387.
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