Factors of 323
Factors of 323 are the list of integers that we can split evenly into 323. It has a total of 4 factors of which 323 is the biggest factor and the positive factors of 323 are 1, 17, 19, 323. The Prime Factors of 323 are 17 × 19 and its Factors in Pairs are (1, 323), (17, 19).
- All Factors of 323: 1, 17, 19 and 323
- Negative Factors of 323: -1, -17, -19 and -323
- Prime Factors of 323: 17, 19
- Prime Factorization of 323: 171 × 191
- Sum of Factors of 323: 360
1. | What Are the Factors of 323? |
2. | Factors of 323 by Prime Factorization |
3. | Factors of 323 in Pairs |
4. | FAQs on Factors of 323 |
What are Factors of 323?
Factors of 323 are pairs of those numbers whose products result in 323. These factors are either prime numbers or composite numbers.
How to Find the Factors of 323?
To find the factors of 323, we will have to find the list of numbers that would divide 323 without leaving any remainder.
- 323/19 = 17; therefore, 19 is a factor of 323 and 17 is also a factor of 323.
- 323/323 = 1; therefore, 323 is a factor of 323 and 1 is also a factor of 323.
☛ Also Check:
- Factors of 99 - The factors of 99 are 1, 3, 9, 11, 33, 99
- Factors of 91 - The factors of 91 are 1, 7, 13, 91
- Factors of 19 - The factors of 19 are 1, 19
- Factors of 65 - The factors of 65 are 1, 5, 13, 65
- Factors of 33 - The factors of 33 are 1, 3, 11, 33
Factors of 323 by Prime Factorization
- 323 ÷ 17 = 19
Further dividing 19 by 17 gives a non-zero remainder. So we stop the process and continue dividing the number 19 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 323 can be written as 171 × 191 where 17, 19 are prime.
Factors of 323 in Pairs
Pair factors of 323 are the pairs of numbers that when multiplied give the product 323. The factors of 323 in pairs are:
- 1 × 323 = (1, 323)
- 17 × 19 = (17, 19)
Negative pair factors of 323 are:
- -1 × -323 = (-1, -323)
- -17 × -19 = (-17, -19)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 323 Solved Examples
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Example 1: How many factors are there for 323?
Solution:
The factors of 323 are 1, 17, 19, 323. Therefore, 323 has 4 factors.
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Example 2: Find the Least Common Multiple (LCM) and Greatest Common Divisor (GCD) of 323 and 158.
Solution:
The factors of 323 are 1, 17, 19, 323 and factors of 158 are 1, 2, 79, 158.
Therefore, the Least Common Multiple (LCM) of 323 and 158 is 51034 and Greatest Common Divisor (GCD) of 323 and 158 is 1. -
Example 3: Find if 19, 209 and 323 are factors of 323.
Solution:
When we divide 323 by 209 it leaves a remainder. Therefore, the number 209 is not a factor of 323. All numbers except 209 are factors of 323.
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Example 4: Find the product of all the prime factors of 323.
Solution:
Since, the prime factors of 323 are 17, 19. Therefore, the product of prime factors = 17 × 19 = 323.
FAQs on Factors of 323
What are the Factors of 323?
The factors of 323 are 1, 17, 19, 323 and its negative factors are -1, -17, -19, -323.
What is the Sum of Factors of 323?
Factors of 323 are 1, 17, 19, 323 and, the sum of all these factors is 1 + 17 + 19 + 323 = 360
What are the Prime Factors of 323?
The prime factors of 323 are 17, 19.
What is the Greatest Common Factor of 323 and 98?
The factors of 323 are 1, 17, 19, 323 and the factors of 98 are 1, 2, 7, 14, 49, 98. 323 and 98 have only one common factor which is 1. This implies that 323 and 98 are co-prime.
Hence, the Greatest Common Factor (GCF) of 323 and 98 is 1.
How Many Factors of 323 are also Factors of 40?
Since, the factors of 323 are 1, 17, 19, 323 and factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40. Hence, 323 and 40 have only one common factor which is 1. Therefore, 323 and 40 are co-prime.
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