Factors of 655
Factors of 655 are numbers that, when multiplied in pairs give the product as 655. There are total 4 factors of 655 i.e. 1, 5, 131, 655. The sum of all factors of 655 is 792 and its factors in Pairs are (1, 655), (5, 131).
- All Factors of 655: 1, 5, 131 and 655
- Negative Factors of 655: -1, -5, -131 and -655
- Prime Factors of 655: 5, 131
- Prime Factorization of 655: 51 × 1311
- Sum of Factors of 655: 792
1. | What Are the Factors of 655? |
2. | Factors of 655 by Prime Factorization |
3. | Factors of 655 in Pairs |
4. | FAQs on Factors of 655 |

What are Factors of 655?
Factors of 655 are pairs of those numbers whose products result in 655. These factors are either prime numbers or composite numbers.
How to Find the Factors of 655?
To find the factors of 655, we will have to find the list of numbers that would divide 655 without leaving any remainder.
- 655/5 = 131; therefore, 5 is a factor of 655 and 131 is also a factor of 655.
- 655/1 = 655; therefore, 1 is a factor of 655 and 655 is also a factor of 655.
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- Factors of 66 - The factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66
Factors of 655 by Prime Factorization
- 655 ÷ 5 = 131
Further dividing 131 by 5 gives a non-zero remainder. So we stop the process and continue dividing the number 131 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 655 can be written as 51 × 1311 where 5, 131 are prime.
Factors of 655 in Pairs
Pair factors of 655 are the pairs of numbers that when multiplied give the product 655. The factors of 655 in pairs are:
- 1 × 655 = (1, 655)
- 5 × 131 = (5, 131)
Negative pair factors of 655 are:
- -1 × -655 = (-1, -655)
- -5 × -131 = (-5, -131)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 655 Solved Examples
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Example 1: How many factors are there for 655?
Solution:
The factors of 655 are 1, 5, 131, 655. Therefore, 655 has 4 factors.
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Example 2: Find the Lowest Common Multiple (LCM) and Highest Common Factor (HCF) of 655 and 352.
Solution:
The factors of 655 are 1, 5, 131, 655 and factors of 352 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352.
Therefore, the Lowest Common Multiple (LCM) of 655 and 352 is 230560 and Highest Common Factor (HCF) of 655 and 352 is 1. -
Example 3: Find if 1, 161 and 655 are factors of 655.
Solution:
When we divide 655 by 161 it leaves a remainder. Therefore, the number 161 is not a factor of 655. All numbers except 161 are factors of 655.
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Example 4: Find the product of all the prime factors of 655.
Solution:
Since, the prime factors of 655 are 5, 131. Therefore, the product of prime factors = 5 × 131 = 655.
FAQs on Factors of 655
What are the Factors of 655?
The factors of 655 are 1, 5, 131, 655 and its negative factors are -1, -5, -131, -655.
What is the Sum of all the Factors of 655?
Since, all factors of 655 are 1, 5, 131, 655 therefore, the sum of its factors is 1 + 5 + 131 + 655 = 792.
What are the Prime Factors of 655?
The prime factors of 655 are 5, 131.
What is the Greatest Common Factor of 655 and 418?
The factors of 655 are 1, 5, 131, 655 and the factors of 418 are 1, 2, 11, 19, 22, 38, 209, 418. 655 and 418 have only one common factor which is 1. This implies that 655 and 418 are co-prime.
Hence, the Greatest Common Factor (GCF) of 655 and 418 is 1.
How Many Factors of 655 are also Factors of 468?
Since, the factors of 655 are 1, 5, 131, 655 and factors of 468 are 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468. Hence, 655 and 468 have only one common factor which is 1. Therefore, 655 and 468 are co-prime.
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