Factors of 427
Factors of 427 are the list of integers that we can split evenly into 427. There are overall 4 factors of 427 i.e. 1, 7, 61, 427 where 427 is the biggest factor. The Pair Factors of 427 are (1, 427), (7, 61) and its Prime Factors are 7 × 61.
- All Factors of 427: 1, 7, 61 and 427
- Negative Factors of 427: -1, -7, -61 and -427
- Prime Factors of 427: 7, 61
- Prime Factorization of 427: 71 × 611
- Sum of Factors of 427: 496
1. | What Are the Factors of 427? |
2. | Factors of 427 by Prime Factorization |
3. | Factors of 427 in Pairs |
4. | FAQs on Factors of 427 |

What are Factors of 427?
Factors of 427 are pairs of those numbers whose products result in 427. These factors are either prime numbers or composite numbers.
How to Find the Factors of 427?
To find the factors of 427, we will have to find the list of numbers that would divide 427 without leaving any remainder.
- 427/7 = 61; therefore, 7 is a factor of 427 and 61 is also a factor of 427.
- 427/427 = 1; therefore, 427 is a factor of 427 and 1 is also a factor of 427.
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Factors of 427 by Prime Factorization
- 427 ÷ 7 = 61
Further dividing 61 by 7 gives a non-zero remainder. So we stop the process and continue dividing the number 61 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 427 can be written as 71 × 611 where 7, 61 are prime.
Factors of 427 in Pairs
Pair factors of 427 are the pairs of numbers that when multiplied give the product 427. The factors of 427 in pairs are:
- 1 × 427 = (1, 427)
- 7 × 61 = (7, 61)
Negative pair factors of 427 are:
- -1 × -427 = (-1, -427)
- -7 × -61 = (-7, -61)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 427 Solved Examples
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Example 1: How many factors are there for 427?
Solution:
The factors of 427 are 1, 7, 61, 427. Therefore, 427 has 4 factors.
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Example 2: Find the Least Common Multiple (LCM) and Greatest Common Factor (GCF) of 427 and 417.
Solution:
The factors of 427 are 1, 7, 61, 427 and factors of 417 are 1, 3, 139, 417.
Therefore, the Least Common Multiple (LCM) of 427 and 417 is 178059 and Greatest Common Factor (GCF) of 427 and 417 is 1. -
Example 3: Find if 1, 61 and 65 are factors of 427.
Solution:
When we divide 427 by 65 it leaves a remainder. Therefore, the number 65 is not a factor of 427. All numbers except 65 are factors of 427.
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Example 4: Find the product of all the prime factors of 427.
Solution:
Since, the prime factors of 427 are 7, 61. Therefore, the product of prime factors = 7 × 61 = 427.
FAQs on Factors of 427
What are the Factors of 427?
The factors of 427 are 1, 7, 61, 427 and its negative factors are -1, -7, -61, -427.
What is the Sum of all Factors of 427?
All the Factors of 427 are 1, 7, 61, 427 and therefore the sum of all these factors is 1 + 7 + 61 + 427 = 496
What are Prime Factors of 427?
The prime factors of 427 are 7, 61.
What is the Greatest Common Factor of 427 and 346?
The factors of 427 are 1, 7, 61, 427 and the factors of 346 are 1, 2, 173, 346. 427 and 346 have only one common factor which is 1. This implies that 427 and 346 are co-prime.
Hence, the Greatest Common Factor (GCF) of 427 and 346 is 1.
What are the Common Factors of 427 and 115?
Since, the factors of 427 are 1, 7, 61, 427 and factors of 115 are 1, 5, 23, 115. Hence, 427 and 115 have only one common factor which is 1. Therefore, 427 and 115 are co-prime.
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