Factors of 568
Factors of 568 are the list of integers that can be evenly divided into 568. There are overall 8 factors of 568 i.e. 1, 2, 4, 8, 71, 142, 284, 568 where 568 is the biggest factor. The sum of all factors of 568 is 1080. Its Prime Factors are 2 × 71 and (1, 568), (2, 284), (4, 142), (8, 71) are Pair Factors.
- All Factors of 568: 1, 2, 4, 8, 71, 142, 284 and 568
- Negative Factors of 568: -1, -2, -4, -8, -71, -142, -284 and -568
- Prime Factors of 568: 2, 71
- Prime Factorization of 568: 23 × 711
- Sum of Factors of 568: 1080
1. | What Are the Factors of 568? |
2. | Factors of 568 by Prime Factorization |
3. | Factors of 568 in Pairs |
4. | FAQs on Factors of 568 |
![Factors of 568](https://static.qumath.in/static/website/old-cdn-static/factors/factors-of-568.png)
What are Factors of 568?
Factors of 568 are pairs of those numbers whose products result in 568. These factors are either prime numbers or composite numbers.
How to Find the Factors of 568?
To find the factors of 568, we will have to find the list of numbers that would divide 568 without leaving any remainder.
- 568/2 = 284; therefore, 2 is a factor of 568 and 284 is also a factor of 568.
- 568/8 = 71; therefore, 8 is a factor of 568 and 71 is also a factor of 568.
☛ Also Check:
- Factors of 12 - The factors of 12 are 1, 2, 3, 4, 6, 12
- Factors of 48 - The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
- Factors of 128 - The factors of 128 are 1, 2, 4, 8, 16, 32, 64, 128
- Factors of 24 - The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24
- Factors of 37 - The factors of 37 are 1, 37
Factors of 568 by Prime Factorization
- 568 ÷ 2 = 284
- 284 ÷ 2 = 142
- 142 ÷ 2 = 71
Further dividing 71 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 71 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 568 can be written as 23 × 711 where 2, 71 are prime.
Factors of 568 in Pairs
Pair factors of 568 are the pairs of numbers that when multiplied give the product 568. The factors of 568 in pairs are:
- 1 × 568 = (1, 568)
- 2 × 284 = (2, 284)
- 4 × 142 = (4, 142)
- 8 × 71 = (8, 71)
Negative pair factors of 568 are:
- -1 × -568 = (-1, -568)
- -2 × -284 = (-2, -284)
- -4 × -142 = (-4, -142)
- -8 × -71 = (-8, -71)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 568 Solved Examples
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Example 1: How many factors are there for 568?
Solution:
The factors of 568 are 1, 2, 4, 8, 71, 142, 284, 568. Therefore, 568 has 8 factors.
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Example 2: Find the LCM and Highest Common Factor (HCF) of 568 and 283.
Solution:
The factors of 568 are 1, 2, 4, 8, 71, 142, 284, 568 and factors of 283 are 1, 283.
Therefore, the LCM of 568 and 283 is 160744 and Highest Common Factor (HCF) of 568 and 283 is 1. -
Example 3: Find if 2, 4, 71, 142 and 468 are factors of 568.
Solution:
When we divide 568 by 468 it leaves a remainder. Therefore, the number 468 is not a factor of 568. All numbers except 468 are factors of 568.
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Example 4: Find the product of all the prime factors of 568.
Solution:
Since, the prime factors of 568 are 2, 71. Therefore, the product of prime factors = 2 × 71 = 142.
FAQs on Factors of 568
What are the Factors of 568?
The factors of 568 are 1, 2, 4, 8, 71, 142, 284, 568 and its negative factors are -1, -2, -4, -8, -71, -142, -284, -568.
What is the Sum of all the Factors of 568?
Sum of all factors of 568 = (23 + 1 - 1)/(2 - 1) × (711 + 1 - 1)/(71 - 1) = 1080
What Numbers are the Prime Factors of 568?
The prime factors of 568 are 2, 71.
What is the Greatest Common Factor of 568 and 361?
The factors of 568 are 1, 2, 4, 8, 71, 142, 284, 568 and the factors of 361 are 1, 19, 361. 568 and 361 have only one common factor which is 1. This implies that 568 and 361 are co-prime.
Hence, the Greatest Common Factor (GCF) of 568 and 361 is 1.
How Many Factors of 568 are also Factors of 562?
Since, the factors of 568 are 1, 2, 4, 8, 71, 142, 284, 568 and the factors of 562 are 1, 2, 281, 562.
Hence, [1, 2] are the common factors of 568 and 562.
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