Factors of 327
Factors of 327 are the list of integers that we can split evenly into 327. There are overall 4 factors of 327 among which 327 is the biggest factor and its positive factors are 1, 3, 109, 327. The Prime Factors and Pair Factors of 327 are 3 × 109 and (1, 327), (3, 109) respectively.
- All Factors of 327: 1, 3, 109 and 327
- Negative Factors of 327: -1, -3, -109 and -327
- Prime Factors of 327: 3, 109
- Prime Factorization of 327: 31 × 1091
- Sum of Factors of 327: 440
1. | What Are the Factors of 327? |
2. | Factors of 327 by Prime Factorization |
3. | Factors of 327 in Pairs |
4. | FAQs on Factors of 327 |
What are Factors of 327?
Factors of 327 are pairs of those numbers whose products result in 327. These factors are either prime numbers or composite numbers.
How to Find the Factors of 327?
To find the factors of 327, we will have to find the list of numbers that would divide 327 without leaving any remainder.
- 327/109 = 3; therefore, 109 is a factor of 327 and 3 is also a factor of 327.
- 327/1 = 327; therefore, 1 is a factor of 327 and 327 is also a factor of 327.
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Factors of 327 by Prime Factorization
- 327 ÷ 3 = 109
Further dividing 109 by 3 gives a non-zero remainder. So we stop the process and continue dividing the number 109 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 327 can be written as 31 × 1091 where 3, 109 are prime.
Factors of 327 in Pairs
Pair factors of 327 are the pairs of numbers that when multiplied give the product 327. The factors of 327 in pairs are:
- 1 × 327 = (1, 327)
- 3 × 109 = (3, 109)
Negative pair factors of 327 are:
- -1 × -327 = (-1, -327)
- -3 × -109 = (-3, -109)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 327 Solved Examples
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Example 1: How many factors are there for 327?
Solution:
The factors of 327 are 1, 3, 109, 327. Therefore, 327 has 4 factors.
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Example 2: Find the LCM and Greatest Common Divisor (GCD) of 327 and 89.
Solution:
The factors of 327 are 1, 3, 109, 327 and factors of 89 are 1, 89.
Therefore, the LCM of 327 and 89 is 29103 and Greatest Common Divisor (GCD) of 327 and 89 is 1. -
Example 3: Find if 3, 36 and 327 are factors of 327.
Solution:
When we divide 327 by 36 it leaves a remainder. Therefore, the number 36 is not a factor of 327. All numbers except 36 are factors of 327.
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Example 4: Find the product of all the prime factors of 327.
Solution:
Since, the prime factors of 327 are 3, 109. Therefore, the product of prime factors = 3 × 109 = 327.
FAQs on Factors of 327
What are the Factors of 327?
The factors of 327 are 1, 3, 109, 327 and its negative factors are -1, -3, -109, -327.
What is the Sum of all the Factors of 327?
Factors of 327 are 1, 3, 109, 327 and, the sum of all these factors is 1 + 3 + 109 + 327 = 440
What are the Pair Factors of 327?
The pair factors of 327 are (1, 327), (3, 109).
What is the Greatest Common Factor of 327 and 157?
The factors of 327 are 1, 3, 109, 327 and the factors of 157 are 1, 157. 327 and 157 have only one common factor which is 1. This implies that 327 and 157 are co-prime.
Hence, the Greatest Common Factor (GCF) of 327 and 157 is 1.
How Many Factors of 327 are also common to the Factors of 324?
Since, the factors of 327 are 1, 3, 109, 327 and the factors of 324 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324.
Hence, [1, 3] are the common factors of 327 and 324.
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