Factors of 321
Factors of 321 are numbers that, when multiplied in pairs give the product as 321. There are overall 4 factors of 321 among which 321 is the biggest factor and 1, 3, 107, 321 are positive factors. The Prime Factors of 321 are 3 × 107 and its Factors in Pairs are (1, 321), (3, 107).
- All Factors of 321: 1, 3, 107 and 321
- Negative Factors of 321: -1, -3, -107 and -321
- Prime Factors of 321: 3, 107
- Prime Factorization of 321: 31 × 1071
- Sum of Factors of 321: 432
1. | What Are the Factors of 321? |
2. | Factors of 321 by Prime Factorization |
3. | Factors of 321 in Pairs |
4. | FAQs on Factors of 321 |

What are Factors of 321?
Factors of 321 are pairs of those numbers whose products result in 321. These factors are either prime numbers or composite numbers.
How to Find the Factors of 321?
To find the factors of 321, we will have to find the list of numbers that would divide 321 without leaving any remainder.
- 321/3 = 107; therefore, 3 is a factor of 321 and 107 is also a factor of 321.
- 321/321 = 1; therefore, 321 is a factor of 321 and 1 is also a factor of 321.
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- Factors of 78 - The factors of 78 are 1, 2, 3, 6, 13, 26, 39, 78
- Factors of 66 - The factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66
- Factors of 98 - The factors of 98 are 1, 2, 7, 14, 49, 98
- Factors of 13 - The factors of 13 are 1, 13
Factors of 321 by Prime Factorization
- 321 ÷ 3 = 107
Further dividing 107 by 3 gives a non-zero remainder. So we stop the process and continue dividing the number 107 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 321 can be written as 31 × 1071 where 3, 107 are prime.
Factors of 321 in Pairs
Pair factors of 321 are the pairs of numbers that when multiplied give the product 321. The factors of 321 in pairs are:
- 1 × 321 = (1, 321)
- 3 × 107 = (3, 107)
Negative pair factors of 321 are:
- -1 × -321 = (-1, -321)
- -3 × -107 = (-3, -107)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 321 Solved Examples
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Example 1: How many factors are there for 321?
Solution:
The factors of 321 are 1, 3, 107, 321. Therefore, 321 has 4 factors.
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Example 2: Find the Lowest Common Multiple (LCM) and Highest Common Factor (HCF) of 321 and 311.
Solution:
The factors of 321 are 1, 3, 107, 321 and factors of 311 are 1, 311.
Therefore, the Lowest Common Multiple (LCM) of 321 and 311 is 99831 and Highest Common Factor (HCF) of 321 and 311 is 1. -
Example 3: Find if 107, 127 and 321 are factors of 321.
Solution:
When we divide 321 by 127 it leaves a remainder. Therefore, the number 127 is not a factor of 321. All numbers except 127 are factors of 321.
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Example 4: Find the product of all the prime factors of 321.
Solution:
Since, the prime factors of 321 are 3, 107. Therefore, the product of prime factors = 3 × 107 = 321.
FAQs on Factors of 321
What are the Factors of 321?
The factors of 321 are 1, 3, 107, 321 and its negative factors are -1, -3, -107, -321.
What is the Sum of Factors of 321?
Factors of 321 are 1, 3, 107, 321 and, the sum of all these factors is 1 + 3 + 107 + 321 = 432
What Numbers are the Prime Factors of 321?
The prime factors of 321 are 3, 107.
What is the Greatest Common Factor of 321 and 269?
The factors of 321 are 1, 3, 107, 321 and the factors of 269 are 1, 269. 321 and 269 have only one common factor which is 1. This implies that 321 and 269 are co-prime.
Hence, the Greatest Common Factor (GCF) of 321 and 269 is 1.
How Many Factors of 321 are also Factors of 101?
Since, the factors of 321 are 1, 3, 107, 321 and factors of 101 are 1, 101. Hence, 321 and 101 have only one common factor which is 1. Therefore, 321 and 101 are co-prime.
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