Factors of 423
Factors of 423 are the list of integers that we can split evenly into 423. There are overall 6 factors of 423 i.e. 1, 3, 9, 47, 141, 423 where 423 is the biggest factor. The Prime Factors and Pair Factors of 423 are 3 × 47 and (1, 423), (3, 141), (9, 47) respectively.
- All Factors of 423: 1, 3, 9, 47, 141 and 423
- Negative Factors of 423: -1, -3, -9, -47, -141 and -423
- Prime Factors of 423: 3, 47
- Prime Factorization of 423: 32 × 471
- Sum of Factors of 423: 624
1. | What Are the Factors of 423? |
2. | Factors of 423 by Prime Factorization |
3. | Factors of 423 in Pairs |
4. | FAQs on Factors of 423 |

What are Factors of 423?
Factors of 423 are pairs of those numbers whose products result in 423. These factors are either prime numbers or composite numbers.
How to Find the Factors of 423?
To find the factors of 423, we will have to find the list of numbers that would divide 423 without leaving any remainder.
- 423/1 = 423; therefore, 1 is a factor of 423.
- 423/47 = 9; therefore, 47 is a factor of 423.
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- Factors of 38 - The factors of 38 are 1, 2, 19, 38
- Factors of 54 - The factors of 54 are 1, 2, 3, 6, 9, 18, 27, 54
Factors of 423 by Prime Factorization
- 423 ÷ 3 = 141
- 141 ÷ 3 = 47
Further dividing 47 by 3 gives a non-zero remainder. So we stop the process and continue dividing the number 47 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 423 can be written as 32 × 471 where 3, 47 are prime.
Factors of 423 in Pairs
Pair factors of 423 are the pairs of numbers that when multiplied give the product 423. The factors of 423 in pairs are:
- 1 × 423 = (1, 423)
- 3 × 141 = (3, 141)
- 9 × 47 = (9, 47)
Negative pair factors of 423 are:
- -1 × -423 = (-1, -423)
- -3 × -141 = (-3, -141)
- -9 × -47 = (-9, -47)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 423 Solved Examples
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Example 1: How many factors are there for 423?
Solution:
The factors of 423 are 1, 3, 9, 47, 141, 423. Therefore, 423 has 6 factors.
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Example 2: Find the Least Common Multiple and Greatest Common Divisor (GCD) of 423 and 138.
Solution:
The factors of 423 are 1, 3, 9, 47, 141, 423 and factors of 138 are 1, 2, 3, 6, 23, 46, 69, 138.
Therefore, the Least Common Multiple of 423 and 138 is 19458 and Greatest Common Divisor (GCD) of 423 and 138 is 3. -
Example 3: Find if 3, 9, 47 and 167 are factors of 423.
Solution:
When we divide 423 by 167 it leaves a remainder. Therefore, the number 167 is not a factor of 423. All numbers except 167 are factors of 423.
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Example 4: Find the product of all the prime factors of 423.
Solution:
Since, the prime factors of 423 are 3, 47. Therefore, the product of prime factors = 3 × 47 = 141.
FAQs on Factors of 423
What are the Factors of 423?
The factors of 423 are 1, 3, 9, 47, 141, 423 and its negative factors are -1, -3, -9, -47, -141, -423.
What is the Sum of all Factors of 423?
Since, all factors of 423 are 1, 3, 9, 47, 141, 423 therefore, the sum of its factors is 1 + 3 + 9 + 47 + 141 + 423 = 624.
What numbers are the Pair Factors of 423?
The pair factors of 423 are (1, 423), (3, 141), (9, 47).
What is the Greatest Common Factor of 423 and 80?
The factors of 423 are 1, 3, 9, 47, 141, 423 and the factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80. 423 and 80 have only one common factor which is 1. This implies that 423 and 80 are co-prime.
Hence, the Greatest Common Factor (GCF) of 423 and 80 is 1.
What are the Common Factors of 423 and 29?
Since, the factors of 423 are 1, 3, 9, 47, 141, 423 and factors of 29 are 1, 29. Hence, 423 and 29 have only one common factor which is 1. Therefore, 423 and 29 are co-prime.
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