Factors of 575
Factors of 575 are integers that can be divided evenly into 575. There are total 6 factors of 575 i.e. 1, 5, 23, 25, 115, 575. The Prime Factors and Pair Factors of 575 are 5 × 23 and (1, 575), (5, 115), (23, 25) respectively.
- All Factors of 575: 1, 5, 23, 25, 115 and 575
- Negative Factors of 575: -1, -5, -23, -25, -115 and -575
- Prime Factors of 575: 5, 23
- Prime Factorization of 575: 52 × 231
- Sum of Factors of 575: 744
1. | What Are the Factors of 575? |
2. | Factors of 575 by Prime Factorization |
3. | Factors of 575 in Pairs |
4. | FAQs on Factors of 575 |
What are Factors of 575?
Factors of 575 are pairs of those numbers whose products result in 575. These factors are either prime numbers or composite numbers.
How to Find the Factors of 575?
To find the factors of 575, we will have to find the list of numbers that would divide 575 without leaving any remainder.
- 575/5 = 115; therefore, 5 is a factor of 575 and 115 is also a factor of 575.
- 575/23 = 25; therefore, 23 is a factor of 575 and 25 is also a factor of 575.
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- Factors of 70 - The factors of 70 are 1, 2, 5, 7, 10, 14, 35, 70
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- Factors of 26 - The factors of 26 are 1, 2, 13, 26
- Factors of 25 - The factors of 25 are 1, 5, 25
- Factors of 41 - The factors of 41 are 1, 41
Factors of 575 by Prime Factorization
- 575 ÷ 5 = 115
- 115 ÷ 5 = 23
Further dividing 23 by 5 gives a non-zero remainder. So we stop the process and continue dividing the number 23 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 575 can be written as 52 × 231 where 5, 23 are prime.
Factors of 575 in Pairs
Pair factors of 575 are the pairs of numbers that when multiplied give the product 575. The factors of 575 in pairs are:
- 1 × 575 = (1, 575)
- 5 × 115 = (5, 115)
- 23 × 25 = (23, 25)
Negative pair factors of 575 are:
- -1 × -575 = (-1, -575)
- -5 × -115 = (-5, -115)
- -23 × -25 = (-23, -25)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 575 Solved Examples
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Example 1: How many factors are there for 575?
Solution:
The factors of 575 are 1, 5, 23, 25, 115, 575. Therefore, 575 has 6 factors.
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Example 2: Find the LCM and Greatest Common Factor (GCF) of 575 and 230.
Solution:
The factors of 575 are 1, 5, 23, 25, 115, 575 and factors of 230 are 1, 2, 5, 10, 23, 46, 115, 230.
Therefore, the LCM of 575 and 230 is 1150 and Greatest Common Factor (GCF) of 575 and 230 is 115. -
Example 3: Find if 1, 23, 389 and 575 are factors of 575.
Solution:
When we divide 575 by 389 it leaves a remainder. Therefore, the number 389 is not a factor of 575. All numbers except 389 are factors of 575.
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Example 4: Find the product of all the prime factors of 575.
Solution:
Since, the prime factors of 575 are 5, 23. Therefore, the product of prime factors = 5 × 23 = 115.
FAQs on Factors of 575
What are the Factors of 575?
The factors of 575 are 1, 5, 23, 25, 115, 575 and its negative factors are -1, -5, -23, -25, -115, -575.
What is the Sum of all Factors of 575?
Since, all factors of 575 are 1, 5, 23, 25, 115, 575 therefore, the sum of its factors is 1 + 5 + 23 + 25 + 115 + 575 = 744.
What are the Prime Factors of 575?
The prime factors of 575 are 5, 23.
What is the Greatest Common Factor of 575 and 332?
The factors of 575 are 1, 5, 23, 25, 115, 575 and the factors of 332 are 1, 2, 4, 83, 166, 332. 575 and 332 have only one common factor which is 1. This implies that 575 and 332 are co-prime.
Hence, the Greatest Common Factor (GCF) of 575 and 332 is 1.
How Many Factors of 575 are also Factors of 120?
Since, the factors of 575 are 1, 5, 23, 25, 115, 575 and the factors of 120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120.
Hence, [1, 5] are the common factors of 575 and 120.
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