Factors of 328
Factors of 328 are integers that can be divided evenly into 328. There are overall 8 factors of 328 among which 328 is the biggest factor and its positive factors are 1, 2, 4, 8, 41, 82, 164, 328. The sum of all factors of 328 is 630. Its Prime Factors are 2 × 41 and (1, 328), (2, 164), (4, 82), (8, 41) are Pair Factors.
- All Factors of 328: 1, 2, 4, 8, 41, 82, 164 and 328
- Negative Factors of 328: -1, -2, -4, -8, -41, -82, -164 and -328
- Prime Factors of 328: 2, 41
- Prime Factorization of 328: 23 × 411
- Sum of Factors of 328: 630
1. | What Are the Factors of 328? |
2. | Factors of 328 by Prime Factorization |
3. | Factors of 328 in Pairs |
4. | FAQs on Factors of 328 |
What are Factors of 328?
Factors of 328 are pairs of those numbers whose products result in 328. These factors are either prime numbers or composite numbers.
How to Find the Factors of 328?
To find the factors of 328, we will have to find the list of numbers that would divide 328 without leaving any remainder.
- 328/1 = 328; therefore, 1 is a factor of 328.
- 328/164 = 2; therefore, 164 is a factor of 328.
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- Factors of 9 - The factors of 9 are 1, 3, 9
Factors of 328 by Prime Factorization
- 328 ÷ 2 = 164
- 164 ÷ 2 = 82
- 82 ÷ 2 = 41
Further dividing 41 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 41 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 328 can be written as 23 × 411 where 2, 41 are prime.
Factors of 328 in Pairs
Pair factors of 328 are the pairs of numbers that when multiplied give the product 328. The factors of 328 in pairs are:
- 1 × 328 = (1, 328)
- 2 × 164 = (2, 164)
- 4 × 82 = (4, 82)
- 8 × 41 = (8, 41)
Negative pair factors of 328 are:
- -1 × -328 = (-1, -328)
- -2 × -164 = (-2, -164)
- -4 × -82 = (-4, -82)
- -8 × -41 = (-8, -41)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 328 Solved Examples
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Example 1: How many factors are there for 328?
Solution:
The factors of 328 are 1, 2, 4, 8, 41, 82, 164, 328. Therefore, 328 has 8 factors.
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Example 2: Find the LCM and Greatest Common Divisor (GCD) of 328 and 162.
Solution:
The factors of 328 are 1, 2, 4, 8, 41, 82, 164, 328 and factors of 162 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162.
Therefore, the LCM of 328 and 162 is 26568 and Greatest Common Divisor (GCD) of 328 and 162 is 2. -
Example 3: Find if 1, 4, 41, 82 and 268 are factors of 328.
Solution:
When we divide 328 by 268 it leaves a remainder. Therefore, the number 268 is not a factor of 328. All numbers except 268 are factors of 328.
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Example 4: Find the product of all the prime factors of 328.
Solution:
Since, the prime factors of 328 are 2, 41. Therefore, the product of prime factors = 2 × 41 = 82.
FAQs on Factors of 328
What are the Factors of 328?
The factors of 328 are 1, 2, 4, 8, 41, 82, 164, 328 and its negative factors are -1, -2, -4, -8, -41, -82, -164, -328.
What is the Sum of all Factors of 328?
Sum of all factors of 328 = (23 + 1 - 1)/(2 - 1) × (411 + 1 - 1)/(41 - 1) = 630
What Numbers are the Prime Factors of 328?
The prime factors of 328 are 2, 41.
What is the Greatest Common Factor of 328 and 309?
The factors of 328 are 1, 2, 4, 8, 41, 82, 164, 328 and the factors of 309 are 1, 3, 103, 309. 328 and 309 have only one common factor which is 1. This implies that 328 and 309 are co-prime.
Hence, the Greatest Common Factor (GCF) of 328 and 309 is 1.
What are the Common Factors of 328 and 324?
Since, the factors of 328 are 1, 2, 4, 8, 41, 82, 164, 328 and the factors of 324 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324.
Hence, [1, 2, 4] are the common factors of 328 and 324.
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