Factors of 365
Factors of 365 are the list of integers that we can split evenly into 365. There are overall 4 factors of 365 among which 365 is the biggest factor and 1, 5, 73, 365 are positive factors. The sum of all factors of 365 is 444. Its Prime Factors are 5 × 73 and (1, 365), (5, 73) are Pair Factors.
- All Factors of 365: 1, 5, 73 and 365
- Negative Factors of 365: -1, -5, -73 and -365
- Prime Factors of 365: 5, 73
- Prime Factorization of 365: 51 × 731
- Sum of Factors of 365: 444
1. | What Are the Factors of 365? |
2. | Factors of 365 by Prime Factorization |
3. | Factors of 365 in Pairs |
4. | FAQs on Factors of 365 |

What are Factors of 365?
Factors of 365 are pairs of those numbers whose products result in 365. These factors are either prime numbers or composite numbers.
How to Find the Factors of 365?
To find the factors of 365, we will have to find the list of numbers that would divide 365 without leaving any remainder.
- 365/5 = 73; therefore, 5 is a factor of 365 and 73 is also a factor of 365.
- 365/1 = 365; therefore, 1 is a factor of 365 and 365 is also a factor of 365.
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- Factors of 7 - The factors of 7 are 1, 7
- Factors of 17 - The factors of 17 are 1, 17
Factors of 365 by Prime Factorization
- 365 ÷ 5 = 73
Further dividing 73 by 5 gives a non-zero remainder. So we stop the process and continue dividing the number 73 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 365 can be written as 51 × 731 where 5, 73 are prime.
Factors of 365 in Pairs
Pair factors of 365 are the pairs of numbers that when multiplied give the product 365. The factors of 365 in pairs are:
- 1 × 365 = (1, 365)
- 5 × 73 = (5, 73)
Negative pair factors of 365 are:
- -1 × -365 = (-1, -365)
- -5 × -73 = (-5, -73)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 365 Solved Examples
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Example 1: How many factors are there for 365?
Solution:
The factors of 365 are 1, 5, 73, 365. Therefore, 365 has 4 factors.
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Example 2: Find the Least Common Multiple and Greatest Common Factor (GCF) of 365 and 319.
Solution:
The factors of 365 are 1, 5, 73, 365 and factors of 319 are 1, 11, 29, 319.
Therefore, the Least Common Multiple of 365 and 319 is 116435 and Greatest Common Factor (GCF) of 365 and 319 is 1. -
Example 3: Find if 5, 51 and 365 are factors of 365.
Solution:
When we divide 365 by 51 it leaves a remainder. Therefore, the number 51 is not a factor of 365. All numbers except 51 are factors of 365.
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Example 4: Find the product of all the prime factors of 365.
Solution:
Since, the prime factors of 365 are 5, 73. Therefore, the product of prime factors = 5 × 73 = 365.
FAQs on Factors of 365
What are the Factors of 365?
The factors of 365 are 1, 5, 73, 365 and its negative factors are -1, -5, -73, -365.
What is the Sum of all Factors of 365?
Since, all factors of 365 are 1, 5, 73, 365 therefore, the sum of its factors is 1 + 5 + 73 + 365 = 444.
What are Prime Factors of 365?
The prime factors of 365 are 5, 73.
What is the Greatest Common Factor of 365 and 28?
The factors of 365 are 1, 5, 73, 365 and the factors of 28 are 1, 2, 4, 7, 14, 28. 365 and 28 have only one common factor which is 1. This implies that 365 and 28 are co-prime.
Hence, the Greatest Common Factor (GCF) of 365 and 28 is 1.
How Many Factors of 365 are also common to the Factors of 208?
Since, the factors of 365 are 1, 5, 73, 365 and factors of 208 are 1, 2, 4, 8, 13, 16, 26, 52, 104, 208. Hence, 365 and 208 have only one common factor which is 1. Therefore, 365 and 208 are co-prime.
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