Factors of 537
Factors of 537 are integers that can be divided evenly into 537. There are overall 4 factors of 537 among which 537 is the biggest factor and 1, 3, 179, 537 are positive factors. The Prime Factors of 537 are 3 × 179 and its Factors in Pairs are (1, 537), (3, 179).
- All Factors of 537: 1, 3, 179 and 537
- Negative Factors of 537: -1, -3, -179 and -537
- Prime Factors of 537: 3, 179
- Prime Factorization of 537: 31 × 1791
- Sum of Factors of 537: 720
1. | What Are the Factors of 537? |
2. | Factors of 537 by Prime Factorization |
3. | Factors of 537 in Pairs |
4. | FAQs on Factors of 537 |
What are Factors of 537?
Factors of 537 are pairs of those numbers whose products result in 537. These factors are either prime numbers or composite numbers.
How to Find the Factors of 537?
To find the factors of 537, we will have to find the list of numbers that would divide 537 without leaving any remainder.
- 537/179 = 3; therefore, 179 is a factor of 537 and 3 is also a factor of 537.
- 537/537 = 1; therefore, 537 is a factor of 537 and 1 is also a factor of 537.
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Factors of 537 by Prime Factorization
- 537 ÷ 3 = 179
Further dividing 179 by 3 gives a non-zero remainder. So we stop the process and continue dividing the number 179 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 537 can be written as 31 × 1791 where 3, 179 are prime.
Factors of 537 in Pairs
Pair factors of 537 are the pairs of numbers that when multiplied give the product 537. The factors of 537 in pairs are:
- 1 × 537 = (1, 537)
- 3 × 179 = (3, 179)
Negative pair factors of 537 are:
- -1 × -537 = (-1, -537)
- -3 × -179 = (-3, -179)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 537 Solved Examples
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Example 1: How many factors are there for 537?
Solution:
The factors of 537 are 1, 3, 179, 537. Therefore, 537 has 4 factors.
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Example 2: Find the LCM and Greatest Common Factor (GCF) of 537 and 328.
Solution:
The factors of 537 are 1, 3, 179, 537 and factors of 328 are 1, 2, 4, 8, 41, 82, 164, 328.
Therefore, the LCM of 537 and 328 is 176136 and Greatest Common Factor (GCF) of 537 and 328 is 1. -
Example 3: Find if 1, 29 and 179 are factors of 537.
Solution:
When we divide 537 by 29 it leaves a remainder. Therefore, the number 29 is not a factor of 537. All numbers except 29 are factors of 537.
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Example 4: Find the product of all the prime factors of 537.
Solution:
Since, the prime factors of 537 are 3, 179. Therefore, the product of prime factors = 3 × 179 = 537.
FAQs on Factors of 537
What are the Factors of 537?
The factors of 537 are 1, 3, 179, 537 and its negative factors are -1, -3, -179, -537.
What is the Sum of all Factors of 537?
Since, all factors of 537 are 1, 3, 179, 537 therefore, the sum of its factors is 1 + 3 + 179 + 537 = 720.
What are the Prime Factors of 537?
The prime factors of 537 are 3, 179.
What is the Greatest Common Factor of 537 and 421?
The factors of 537 are 1, 3, 179, 537 and the factors of 421 are 1, 421. 537 and 421 have only one common factor which is 1. This implies that 537 and 421 are co-prime.
Hence, the Greatest Common Factor (GCF) of 537 and 421 is 1.
What are the Common Factors of 537 and 314?
Since, the factors of 537 are 1, 3, 179, 537 and factors of 314 are 1, 2, 157, 314. Hence, 537 and 314 have only one common factor which is 1. Therefore, 537 and 314 are co-prime.
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