Factors of 539
Factors of 539 are numbers that, when multiplied in pairs give the product as 539. There are overall 6 factors of 539 among which 539 is the biggest factor and its positive factors are 1, 7, 11, 49, 77, 539. The Prime Factors of 539 are 7 × 11 and its Factors in Pairs are (1, 539), (7, 77), (11, 49).
- All Factors of 539: 1, 7, 11, 49, 77 and 539
- Negative Factors of 539: -1, -7, -11, -49, -77 and -539
- Prime Factors of 539: 7, 11
- Prime Factorization of 539: 72 × 111
- Sum of Factors of 539: 684
1. | What Are the Factors of 539? |
2. | Factors of 539 by Prime Factorization |
3. | Factors of 539 in Pairs |
4. | FAQs on Factors of 539 |
What are Factors of 539?
Factors of 539 are pairs of those numbers whose products result in 539. These factors are either prime numbers or composite numbers.
How to Find the Factors of 539?
To find the factors of 539, we will have to find the list of numbers that would divide 539 without leaving any remainder.
- 539/539 = 1; therefore, 539 is a factor of 539.
- 539/7 = 77; therefore, 7 is a factor of 539.
☛ Also Check:
- Factors of 55 - The factors of 55 are 1, 5, 11, 55
- Factors of 48 - The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
- Factors of 72 - The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
- Factors of 8 - The factors of 8 are 1, 2, 4, 8
- Factors of 27 - The factors of 27 are 1, 3, 9, 27
Factors of 539 by Prime Factorization
- 539 ÷ 7 = 77
- 77 ÷ 7 = 11
Further dividing 11 by 7 gives a non-zero remainder. So we stop the process and continue dividing the number 11 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 539 can be written as 72 × 111 where 7, 11 are prime.
Factors of 539 in Pairs
Pair factors of 539 are the pairs of numbers that when multiplied give the product 539. The factors of 539 in pairs are:
- 1 × 539 = (1, 539)
- 7 × 77 = (7, 77)
- 11 × 49 = (11, 49)
Negative pair factors of 539 are:
- -1 × -539 = (-1, -539)
- -7 × -77 = (-7, -77)
- -11 × -49 = (-11, -49)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 539 Solved Examples
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Example 1: How many factors are there for 539?
Solution:
The factors of 539 are 1, 7, 11, 49, 77, 539. Therefore, 539 has 6 factors.
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Example 2: Find the LCM and Highest Common Factor (HCF) of 539 and 290.
Solution:
The factors of 539 are 1, 7, 11, 49, 77, 539 and factors of 290 are 1, 2, 5, 10, 29, 58, 145, 290.
Therefore, the LCM of 539 and 290 is 156310 and Highest Common Factor (HCF) of 539 and 290 is 1. -
Example 3: Find if 1, 11, 40 and 539 are factors of 539.
Solution:
When we divide 539 by 40 it leaves a remainder. Therefore, the number 40 is not a factor of 539. All numbers except 40 are factors of 539.
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Example 4: Find the product of all the prime factors of 539.
Solution:
Since, the prime factors of 539 are 7, 11. Therefore, the product of prime factors = 7 × 11 = 77.
FAQs on Factors of 539
What are the Factors of 539?
The factors of 539 are 1, 7, 11, 49, 77, 539 and its negative factors are -1, -7, -11, -49, -77, -539.
What is the Sum of all Factors of 539?
Factors of 539 are 1, 7, 11, 49, 77, 539 and, the sum of all these factors is 1 + 7 + 11 + 49 + 77 + 539 = 684
What are Pair Factors of 539?
The pair factors of 539 are (1, 539), (7, 77), (11, 49).
What is the Greatest Common Factor of 539 and 412?
The factors of 539 are 1, 7, 11, 49, 77, 539 and the factors of 412 are 1, 2, 4, 103, 206, 412. 539 and 412 have only one common factor which is 1. This implies that 539 and 412 are co-prime.
Hence, the Greatest Common Factor (GCF) of 539 and 412 is 1.
How Many Factors of 347 are also common to the Factors of 539?
Since, the factors of 539 are 1, 7, 11, 49, 77, 539 and factors of 347 are 1, 347. Hence, 539 and 347 have only one common factor which is 1. Therefore, 539 and 347 are co-prime.
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