Factors of 295
Factors of 295 are integers that can be divided evenly into 295. There are total 4 factors of 295 i.e. 1, 5, 59, 295. The sum of all factors of 295 is 360. Its Prime Factors are 5 × 59 and (1, 295), (5, 59) are Pair Factors.
- All Factors of 295: 1, 5, 59 and 295
- Negative Factors of 295: -1, -5, -59 and -295
- Prime Factors of 295: 5, 59
- Prime Factorization of 295: 51 × 591
- Sum of Factors of 295: 360
1. | What Are the Factors of 295? |
2. | Factors of 295 by Prime Factorization |
3. | Factors of 295 in Pairs |
4. | FAQs on Factors of 295 |

What are Factors of 295?
Factors of 295 are pairs of those numbers whose products result in 295. These factors are either prime numbers or composite numbers.
How to Find the Factors of 295?
To find the factors of 295, we will have to find the list of numbers that would divide 295 without leaving any remainder.
- 295/5 = 59; therefore, 5 is a factor of 295 and 59 is also a factor of 295.
- 295/295 = 1; therefore, 295 is a factor of 295 and 1 is also a factor of 295.
☛ Also Check:
- Factors of 28 - The factors of 28 are 1, 2, 4, 7, 14, 28
- Factors of 27 - The factors of 27 are 1, 3, 9, 27
- Factors of 22 - The factors of 22 are 1, 2, 11, 22
- Factors of 8 - The factors of 8 are 1, 2, 4, 8
- Factors of 55 - The factors of 55 are 1, 5, 11, 55
Factors of 295 by Prime Factorization
- 295 ÷ 5 = 59
Further dividing 59 by 5 gives a non-zero remainder. So we stop the process and continue dividing the number 59 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 295 can be written as 51 × 591 where 5, 59 are prime.
Factors of 295 in Pairs
Pair factors of 295 are the pairs of numbers that when multiplied give the product 295. The factors of 295 in pairs are:
- 1 × 295 = (1, 295)
- 5 × 59 = (5, 59)
Negative pair factors of 295 are:
- -1 × -295 = (-1, -295)
- -5 × -59 = (-5, -59)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 295 Solved Examples
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Example 1: How many factors are there for 295?
Solution:
The factors of 295 are 1, 5, 59, 295. Therefore, 295 has 4 factors.
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Example 2: Find the Lowest Common Multiple (LCM) and Highest Common Factor (HCF) of 295 and 85.
Solution:
The factors of 295 are 1, 5, 59, 295 and factors of 85 are 1, 5, 17, 85.
Therefore, the Lowest Common Multiple (LCM) of 295 and 85 is 5015 and Highest Common Factor (HCF) of 295 and 85 is 5. -
Example 3: Find if 1, 59 and 89 are factors of 295.
Solution:
When we divide 295 by 89 it leaves a remainder. Therefore, the number 89 is not a factor of 295. All numbers except 89 are factors of 295.
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Example 4: Find the product of all the prime factors of 295.
Solution:
Since, the prime factors of 295 are 5, 59. Therefore, the product of prime factors = 5 × 59 = 295.
FAQs on Factors of 295
What are the Factors of 295?
The factors of 295 are 1, 5, 59, 295 and its negative factors are -1, -5, -59, -295.
What is the Sum of the Factors of 295?
All the Factors of 295 are 1, 5, 59, 295 and therefore the sum of all these factors is 1 + 5 + 59 + 295 = 360
What numbers are the Pair Factors of 295?
The pair factors of 295 are (1, 295), (5, 59).
What is the Greatest Common Factor of 295 and 214?
The factors of 295 are 1, 5, 59, 295 and the factors of 214 are 1, 2, 107, 214. 295 and 214 have only one common factor which is 1. This implies that 295 and 214 are co-prime.
Hence, the Greatest Common Factor (GCF) of 295 and 214 is 1.
How Many Factors of 131 are also common to the Factors of 295?
Since, the factors of 295 are 1, 5, 59, 295 and factors of 131 are 1, 131. Hence, 295 and 131 have only one common factor which is 1. Therefore, 295 and 131 are co-prime.
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