Factors of 339
Factors of 339 are the list of integers that we can split evenly into 339. There are 4 factors of 339, which are 1, 3, 113, 339. Here, 339 is the biggest factor. The sum of all factors of 339 is 456. Its Prime Factors are 3 × 113 and (1, 339), (3, 113) are Pair Factors.
- All Factors of 339: 1, 3, 113 and 339
- Negative Factors of 339: -1, -3, -113 and -339
- Prime Factors of 339: 3, 113
- Prime Factorization of 339: 31 × 1131
- Sum of Factors of 339: 456
1. | What Are the Factors of 339? |
2. | Factors of 339 by Prime Factorization |
3. | Factors of 339 in Pairs |
4. | FAQs on Factors of 339 |
What are Factors of 339?
Factors of 339 are pairs of those numbers whose products result in 339. These factors are either prime numbers or composite numbers.
How to Find the Factors of 339?
To find the factors of 339, we will have to find the list of numbers that would divide 339 without leaving any remainder.
- 339/3 = 113; therefore, 3 is a factor of 339 and 113 is also a factor of 339.
- 339/1 = 339; therefore, 1 is a factor of 339 and 339 is also a factor of 339.
☛ Also Check:
- Factors of 78 - The factors of 78 are 1, 2, 3, 6, 13, 26, 39, 78
- Factors of 144 - The factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
- Factors of 11 - The factors of 11 are 1, 11
- Factors of 5 - The factors of 5 are 1, 5
- Factors of 22 - The factors of 22 are 1, 2, 11, 22
Factors of 339 by Prime Factorization
- 339 ÷ 3 = 113
Further dividing 113 by 3 gives a non-zero remainder. So we stop the process and continue dividing the number 113 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 339 can be written as 31 × 1131 where 3, 113 are prime.
Factors of 339 in Pairs
Pair factors of 339 are the pairs of numbers that when multiplied give the product 339. The factors of 339 in pairs are:
- 1 × 339 = (1, 339)
- 3 × 113 = (3, 113)
Negative pair factors of 339 are:
- -1 × -339 = (-1, -339)
- -3 × -113 = (-3, -113)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 339 Solved Examples
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Example 1: How many factors are there for 339?
Solution:
The factors of 339 are 1, 3, 113, 339. Therefore, 339 has 4 factors.
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Example 2: Find the Lowest Common Multiple (LCM) and Greatest Common Divisor (GCD) of 339 and 28.
Solution:
The factors of 339 are 1, 3, 113, 339 and factors of 28 are 1, 2, 4, 7, 14, 28.
Therefore, the Lowest Common Multiple (LCM) of 339 and 28 is 9492 and Greatest Common Divisor (GCD) of 339 and 28 is 1. -
Example 3: Find if 1, 191 and 339 are factors of 339.
Solution:
When we divide 339 by 191 it leaves a remainder. Therefore, the number 191 is not a factor of 339. All numbers except 191 are factors of 339.
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Example 4: Find the product of all the prime factors of 339.
Solution:
Since, the prime factors of 339 are 3, 113. Therefore, the product of prime factors = 3 × 113 = 339.
FAQs on Factors of 339
What are the Factors of 339?
The factors of 339 are 1, 3, 113, 339 and its negative factors are -1, -3, -113, -339.
What is the Sum of all Factors of 339?
All the Factors of 339 are 1, 3, 113, 339 and therefore the sum of all these factors is 1 + 3 + 113 + 339 = 456
What are Pair Factors of 339?
The pair factors of 339 are (1, 339), (3, 113).
What is the Greatest Common Factor of 339 and 181?
The factors of 339 are 1, 3, 113, 339 and the factors of 181 are 1, 181. 339 and 181 have only one common factor which is 1. This implies that 339 and 181 are co-prime.
Hence, the Greatest Common Factor (GCF) of 339 and 181 is 1.
How Many Factors of 339 are also common to the Factors of 328?
Since, the factors of 339 are 1, 3, 113, 339 and factors of 328 are 1, 2, 4, 8, 41, 82, 164, 328. Hence, 339 and 328 have only one common factor which is 1. Therefore, 339 and 328 are co-prime.
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