Factors of 359
Factors of 359 are numbers that, when multiplied in pairs give the product as 359. There are total 2 factors of 359 i.e. 1, 359. The sum of all factors of 359 is 360. Its Prime Factors is 359 and (1, 359) are Pair Factors.
- All Factors of 359: 1 and 359
- Negative Factors of 359: -1 and -359
- Prime Factors of 359: 359
- Prime Factorization of 359: 3591
- Sum of Factors of 359: 360
1. | What Are the Factors of 359? |
2. | Factors of 359 by Prime Factorization |
3. | Factors of 359 in Pairs |
4. | FAQs on Factors of 359 |

What are Factors of 359?
Factors of 359 are pairs of those numbers whose products result in 359. These factors are either prime numbers or composite numbers.
How to Find the Factors of 359?
To find the factors of 359, we will have to find the list of numbers that would divide 359 without leaving any remainder.
- 359/1 = 359; therefore, 1 is a factor of 359.
- 359/359 = 1; therefore, 359 is a factor of 359.
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- Factors of 6 - The factors of 6 are 1, 2, 3, 6
- Factors of 108 - The factors of 108 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Factors of 359 by Prime Factorization
So, the prime factorization of 359 can be written as 3591 where 359 is prime.
Factors of 359 in Pairs
Pair factors of 359 are the pairs of numbers that when multiplied give the product 359. The factors of 359 in pairs are:
- 1 × 359 = (1, 359)
Negative pair factors of 359 are:
- -1 × -359 = (-1, -359)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 359 Solved Examples
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Example 1: How many factors are there for 359?
Solution:
The factors of 359 are 1, 359. Therefore, 359 has 2 factors.
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Example 2: Find the Least Common Multiple (LCM) and Greatest Common Divisor (GCD) of 359 and 186.
Solution:
The factors of 359 are 1, 359 and factors of 186 are 1, 2, 3, 6, 31, 62, 93, 186.
Therefore, the Least Common Multiple (LCM) of 359 and 186 is 66774 and Greatest Common Divisor (GCD) of 359 and 186 is 1. -
Example 3: Find if 1 and 235 are factors of 359.
Solution:
When we divide 359 by 235 it leaves a remainder. Therefore, the number 235 is not a factor of 359. All numbers except 235 are factors of 359.
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Example 4: Find the product of all the factors of 359.
Solution:
Since, the factors of 359 are 1, 359. Therefore, the product of factors = 1 × 359 = 359.
FAQs on Factors of 359
What are the Factors of 359?
The factors of 359 are 1, 359 and its negative factors are -1, -359.
What is the Sum of the Factors of 359?
Since, all factors of 359 are 1, 359 therefore, the sum of its factors is 1 + 359 = 360.
What are Prime Factors of 359?
The prime factor of 359 is 359.
What is the Greatest Common Factor of 359 and 96?
The factors of 359 are 1, 359 and the factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96. 359 and 96 have only one common factor which is 1. This implies that 359 and 96 are co-prime.
Hence, the Greatest Common Factor (GCF) of 359 and 96 is 1.
How Many Factors of 359 are also common to the Factors of 214?
Since, the factors of 359 are 1, 359 and factors of 214 are 1, 2, 107, 214. Hence, 359 and 214 have only one common factor which is 1. Therefore, 359 and 214 are co-prime.
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