Factors of 275
Factors of 275 are the list of integers that can be evenly divided into 275. It has a total of 6 factors of which 275 is the biggest factor and the positive factors of 275 are 1, 5, 11, 25, 55, 275. The sum of all factors of 275 is 372. Its Prime Factors are 5 × 11 and (1, 275), (5, 55), (11, 25) are Pair Factors.
- All Factors of 275: 1, 5, 11, 25, 55 and 275
- Negative Factors of 275: -1, -5, -11, -25, -55 and -275
- Prime Factors of 275: 5, 11
- Prime Factorization of 275: 52 × 111
- Sum of Factors of 275: 372
1. | What Are the Factors of 275? |
2. | Factors of 275 by Prime Factorization |
3. | Factors of 275 in Pairs |
4. | FAQs on Factors of 275 |
What are Factors of 275?
Factors of 275 are pairs of those numbers whose products result in 275. These factors are either prime numbers or composite numbers.
How to Find the Factors of 275?
To find the factors of 275, we will have to find the list of numbers that would divide 275 without leaving any remainder.
- 275/275 = 1; therefore, 275 is a factor of 275.
- 275/55 = 5; therefore, 55 is a factor of 275.
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- Factors of 19 - The factors of 19 are 1, 19
Factors of 275 by Prime Factorization
- 275 ÷ 5 = 55
- 55 ÷ 5 = 11
Further dividing 11 by 5 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 275 can be written as 52 × 111 where 5, 11 are prime.
Factors of 275 in Pairs
Pair factors of 275 are the pairs of numbers that when multiplied give the product 275. The factors of 275 in pairs are:
- 1 × 275 = (1, 275)
- 5 × 55 = (5, 55)
- 11 × 25 = (11, 25)
Negative pair factors of 275 are:
- -1 × -275 = (-1, -275)
- -5 × -55 = (-5, -55)
- -11 × -25 = (-11, -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 275 Solved Examples
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Example 1: How many factors are there for 275?
Solution:
The factors of 275 are 1, 5, 11, 25, 55, 275. Therefore, 275 has 6 factors.
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Example 2: Find the Least Common Multiple and Greatest Common Factor (GCF) of 275 and 206.
Solution:
The factors of 275 are 1, 5, 11, 25, 55, 275 and factors of 206 are 1, 2, 103, 206.
Therefore, the Least Common Multiple of 275 and 206 is 56650 and Greatest Common Factor (GCF) of 275 and 206 is 1. -
Example 3: Find if 1, 5, 55 and 121 are factors of 275.
Solution:
When we divide 275 by 121 it leaves a remainder. Therefore, the number 121 is not a factor of 275. All numbers except 121 are factors of 275.
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Example 4: Find the product of all the prime factors of 275.
Solution:
Since, the prime factors of 275 are 5, 11. Therefore, the product of prime factors = 5 × 11 = 55.
FAQs on Factors of 275
What are the Factors of 275?
The factors of 275 are 1, 5, 11, 25, 55, 275 and its negative factors are -1, -5, -11, -25, -55, -275.
What is the Sum of all Factors of 275?
Factors of 275 are 1, 5, 11, 25, 55, 275 and, the sum of all these factors is 1 + 5 + 11 + 25 + 55 + 275 = 372
What are the Pair Factors of 275?
The pair factors of 275 are (1, 275), (5, 55), (11, 25).
What is the Greatest Common Factor of 275 and 241?
The factors of 275 are 1, 5, 11, 25, 55, 275 and the factors of 241 are 1, 241. 275 and 241 have only one common factor which is 1. This implies that 275 and 241 are co-prime.
Hence, the Greatest Common Factor (GCF) of 275 and 241 is 1.
How Many Factors of 172 are also common to the Factors of 275?
Since, the factors of 275 are 1, 5, 11, 25, 55, 275 and factors of 172 are 1, 2, 4, 43, 86, 172. Hence, 275 and 172 have only one common factor which is 1. Therefore, 275 and 172 are co-prime.
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