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Factors of 637
Factors of 637 are the list of integers that we can split evenly into 637. There are 6 factors of 637, which are 1, 7, 13, 49, 91, 637. Here, 637 is the biggest factor. The sum of all factors of 637 is 798 and its factors in Pairs are (1, 637), (7, 91), (13, 49).
 All Factors of 637: 1, 7, 13, 49, 91 and 637
 Negative Factors of 637: 1, 7, 13, 49, 91 and 637
 Prime Factors of 637: 7, 13
 Prime Factorization of 637: 7^{2} × 13^{1}
 Sum of Factors of 637: 798
1.  What Are the Factors of 637? 
2.  Factors of 637 by Prime Factorization 
3.  Factors of 637 in Pairs 
4.  FAQs on Factors of 637 
What are Factors of 637?
Factors of 637 are pairs of those numbers whose products result in 637. These factors are either prime numbers or composite numbers.
How to Find the Factors of 637?
To find the factors of 637, we will have to find the list of numbers that would divide 637 without leaving any remainder.
 637/637 = 1; therefore, 637 is a factor of 637.
 637/7 = 91; therefore, 7 is a factor of 637.
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 Factors of 100  The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100
 Factors of 41  The factors of 41 are 1, 41
 Factors of 48  The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
 Factors of 96  The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
 Factors of 8  The factors of 8 are 1, 2, 4, 8
Factors of 637 by Prime Factorization
 637 ÷ 7 = 91
 91 ÷ 7 = 13
Further dividing 13 by 7 gives a nonzero remainder. So we stop the process and continue dividing the number 13 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 637 can be written as 7^{2} × 13^{1} where 7, 13 are prime.
Factors of 637 in Pairs
Pair factors of 637 are the pairs of numbers that when multiplied give the product 637. The factors of 637 in pairs are:
 1 × 637 = (1, 637)
 7 × 91 = (7, 91)
 13 × 49 = (13, 49)
Negative pair factors of 637 are:
 1 × 637 = (1, 637)
 7 × 91 = (7, 91)
 13 × 49 = (13, 49)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 637 Solved Examples

Example 1: How many factors are there for 637?
Solution:
The factors of 637 are 1, 7, 13, 49, 91, 637. Therefore, 637 has 6 factors.

Example 2: Find the Least Common Multiple (LCM) and Highest Common Factor (HCF) of 637 and 461.
Solution:
The factors of 637 are 1, 7, 13, 49, 91, 637 and factors of 461 are 1, 461.
Therefore, the Least Common Multiple (LCM) of 637 and 461 is 293657 and Highest Common Factor (HCF) of 637 and 461 is 1. 
Example 3: Find if 1, 49, 91 and 227 are factors of 637.
Solution:
When we divide 637 by 227 it leaves a remainder. Therefore, the number 227 is not a factor of 637. All numbers except 227 are factors of 637.

Example 4: Find the product of all the prime factors of 637.
Solution:
Since, the prime factors of 637 are 7, 13. Therefore, the product of prime factors = 7 × 13 = 91.
FAQs on Factors of 637
What are the Factors of 637?
The factors of 637 are 1, 7, 13, 49, 91, 637 and its negative factors are 1, 7, 13, 49, 91, 637.
What is the Sum of all the Factors of 637?
All the Factors of 637 are 1, 7, 13, 49, 91, 637 and therefore the sum of all these factors is 1 + 7 + 13 + 49 + 91 + 637 = 798
What are the Prime Factors of 637?
The prime factors of 637 are 7, 13.
What is the Greatest Common Factor of 637 and 380?
The factors of 637 are 1, 7, 13, 49, 91, 637 and the factors of 380 are 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380. 637 and 380 have only one common factor which is 1. This implies that 637 and 380 are coprime.
Hence, the Greatest Common Factor (GCF) of 637 and 380 is 1.
What are the Common Factors of 637 and 258?
Since, the factors of 637 are 1, 7, 13, 49, 91, 637 and factors of 258 are 1, 2, 3, 6, 43, 86, 129, 258. Hence, 637 and 258 have only one common factor which is 1. Therefore, 637 and 258 are coprime.
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