Factors of 923
Factors of 923 are the list of integers that we can split evenly into 923. There are total 4 factors of 923 i.e. 1, 13, 71, 923. The sum of all factors of 923 is 1008. Its Prime Factors are 13 × 71 and (1, 923), (13, 71) are Pair Factors.
- All Factors of 923: 1, 13, 71 and 923
- Negative Factors of 923: -1, -13, -71 and -923
- Prime Factors of 923: 13, 71
- Prime Factorization of 923: 131 × 711
- Sum of Factors of 923: 1008
1. | What Are the Factors of 923? |
2. | Factors of 923 by Prime Factorization |
3. | Factors of 923 in Pairs |
4. | FAQs on Factors of 923 |

What are Factors of 923?
Factors of 923 are pairs of those numbers whose products result in 923. These factors are either prime numbers or composite numbers.
How to Find the Factors of 923?
To find the factors of 923, we will have to find the list of numbers that would divide 923 without leaving any remainder.
- 923/13 = 71; therefore, 13 is a factor of 923 and 71 is also a factor of 923.
- 923/1 = 923; therefore, 1 is a factor of 923 and 923 is also a factor of 923.
☛ Also Check:
- Factors of 72 - The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
- Factors of 34 - The factors of 34 are 1, 2, 17, 34
- Factors of 66 - The factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66
- Factors of 108 - The factors of 108 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
- Factors of 128 - The factors of 128 are 1, 2, 4, 8, 16, 32, 64, 128
Factors of 923 by Prime Factorization
- 923 ÷ 13 = 71
Further dividing 71 by 13 gives a non-zero remainder. So we stop the process and continue dividing the number 71 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 923 can be written as 131 × 711 where 13, 71 are prime.
Factors of 923 in Pairs
Pair factors of 923 are the pairs of numbers that when multiplied give the product 923. The factors of 923 in pairs are:
- 1 × 923 = (1, 923)
- 13 × 71 = (13, 71)
Negative pair factors of 923 are:
- -1 × -923 = (-1, -923)
- -13 × -71 = (-13, -71)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 923 Solved Examples
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Example 1: How many factors are there for 923?
Solution:
The factors of 923 are 1, 13, 71, 923. Therefore, 923 has 4 factors.
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Example 2: Find the LCM and Highest Common Factor (HCF) of 923 and 471.
Solution:
The factors of 923 are 1, 13, 71, 923 and factors of 471 are 1, 3, 157, 471.
Therefore, the LCM of 923 and 471 is 434733 and Highest Common Factor (HCF) of 923 and 471 is 1. -
Example 3: Find if 71, 208 and 923 are factors of 923.
Solution:
When we divide 923 by 208 it leaves a remainder. Therefore, the number 208 is not a factor of 923. All numbers except 208 are factors of 923.
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Example 4: Find the product of all the prime factors of 923.
Solution:
Since, the prime factors of 923 are 13, 71. Therefore, the product of prime factors = 13 × 71 = 923.
FAQs on Factors of 923
What are the Factors of 923?
The factors of 923 are 1, 13, 71, 923 and its negative factors are -1, -13, -71, -923.
What is the Sum of the Factors of 923?
Since, all factors of 923 are 1, 13, 71, 923 therefore, the sum of its factors is 1 + 13 + 71 + 923 = 1008.
What are the Pair Factors of 923?
The pair factors of 923 are (1, 923), (13, 71).
What is the Greatest Common Factor of 923 and 726?
The factors of 923 are 1, 13, 71, 923 and the factors of 726 are 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726. 923 and 726 have only one common factor which is 1. This implies that 923 and 726 are co-prime.
Hence, the Greatest Common Factor (GCF) of 923 and 726 is 1.
How Many Factors of 883 are also common to the Factors of 923?
Since, the factors of 923 are 1, 13, 71, 923 and factors of 883 are 1, 883. Hence, 923 and 883 have only one common factor which is 1. Therefore, 923 and 883 are co-prime.
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