Factors of 422
Factors of 422 are the list of integers that we can split evenly into 422. There are overall 4 factors of 422 i.e. 1, 2, 211, 422 where 422 is the biggest factor. The Prime Factors of 422 are 2 × 211 and its Factors in Pairs are (1, 422), (2, 211).
- All Factors of 422: 1, 2, 211 and 422
- Negative Factors of 422: -1, -2, -211 and -422
- Prime Factors of 422: 2, 211
- Prime Factorization of 422: 21 × 2111
- Sum of Factors of 422: 636
1. | What Are the Factors of 422? |
2. | Factors of 422 by Prime Factorization |
3. | Factors of 422 in Pairs |
4. | FAQs on Factors of 422 |

What are Factors of 422?
Factors of 422 are pairs of those numbers whose products result in 422. These factors are either prime numbers or composite numbers.
How to Find the Factors of 422?
To find the factors of 422, we will have to find the list of numbers that would divide 422 without leaving any remainder.
- 422/211 = 2; therefore, 211 is a factor of 422 and 2 is also a factor of 422.
- 422/422 = 1; therefore, 422 is a factor of 422 and 1 is also a factor of 422.
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- Factors of 90 - The factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
- Factors of 96 - The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Factors of 422 by Prime Factorization
- 422 ÷ 2 = 211
Further dividing 211 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 211 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 422 can be written as 21 × 2111 where 2, 211 are prime.
Factors of 422 in Pairs
Pair factors of 422 are the pairs of numbers that when multiplied give the product 422. The factors of 422 in pairs are:
- 1 × 422 = (1, 422)
- 2 × 211 = (2, 211)
Negative pair factors of 422 are:
- -1 × -422 = (-1, -422)
- -2 × -211 = (-2, -211)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 422 Solved Examples
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Example 1: How many factors are there for 422?
Solution:
The factors of 422 are 1, 2, 211, 422. Therefore, 422 has 4 factors.
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Example 2: Find the Least Common Multiple (LCM) and Greatest Common Factor (GCF) of 422 and 193.
Solution:
The factors of 422 are 1, 2, 211, 422 and factors of 193 are 1, 193.
Therefore, the Least Common Multiple (LCM) of 422 and 193 is 81446 and Greatest Common Factor (GCF) of 422 and 193 is 1. -
Example 3: Find if 1, 164 and 422 are factors of 422.
Solution:
When we divide 422 by 164 it leaves a remainder. Therefore, the number 164 is not a factor of 422. All numbers except 164 are factors of 422.
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Example 4: Find the product of all the prime factors of 422.
Solution:
Since, the prime factors of 422 are 2, 211. Therefore, the product of prime factors = 2 × 211 = 422.
FAQs on Factors of 422
What are the Factors of 422?
The factors of 422 are 1, 2, 211, 422 and its negative factors are -1, -2, -211, -422.
What is the Sum of all Factors of 422?
All the Factors of 422 are 1, 2, 211, 422 and therefore the sum of all these factors is 1 + 2 + 211 + 422 = 636
What numbers are the Pair Factors of 422?
The pair factors of 422 are (1, 422), (2, 211).
What is the Greatest Common Factor of 422 and 65?
The factors of 422 are 1, 2, 211, 422 and the factors of 65 are 1, 5, 13, 65. 422 and 65 have only one common factor which is 1. This implies that 422 and 65 are co-prime.
Hence, the Greatest Common Factor (GCF) of 422 and 65 is 1.
How Many Factors of 422 are also Factors of 315?
Since, the factors of 422 are 1, 2, 211, 422 and factors of 315 are 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315. Hence, 422 and 315 have only one common factor which is 1. Therefore, 422 and 315 are co-prime.
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