Factors of 824
Factors of 824 are the list of integers that can be evenly divided into 824. There are overall 8 factors of 824 among which 824 is the biggest factor and 1, 2, 4, 8, 103, 206, 412, 824 are positive factors. The Prime Factors of 824 are 2 × 103 and its Factors in Pairs are (1, 824), (2, 412), (4, 206), (8, 103).
 All Factors of 824: 1, 2, 4, 8, 103, 206, 412 and 824
 Negative Factors of 824: 1, 2, 4, 8, 103, 206, 412 and 824
 Prime Factors of 824: 2, 103
 Prime Factorization of 824: 2^{3} × 103^{1}
 Sum of Factors of 824: 1560
1.  What Are the Factors of 824? 
2.  Factors of 824 by Prime Factorization 
3.  Factors of 824 in Pairs 
4.  FAQs on Factors of 824 
What are Factors of 824?
Factors of 824 are pairs of those numbers whose products result in 824. These factors are either prime numbers or composite numbers.
How to Find the Factors of 824?
To find the factors of 824, we will have to find the list of numbers that would divide 824 without leaving any remainder.
 824/8 = 103; therefore, 8 is a factor of 824 and 103 is also a factor of 824.
 824/2 = 412; therefore, 2 is a factor of 824 and 412 is also a factor of 824.
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Factors of 824 by Prime Factorization
 824 ÷ 2 = 412
 412 ÷ 2 = 206
 206 ÷ 2 = 103
Further dividing 103 by 2 gives a nonzero remainder. So we stop the process and continue dividing the number 103 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 824 can be written as 2^{3} × 103^{1} where 2, 103 are prime.
Factors of 824 in Pairs
Pair factors of 824 are the pairs of numbers that when multiplied give the product 824. The factors of 824 in pairs are:
 1 × 824 = (1, 824)
 2 × 412 = (2, 412)
 4 × 206 = (4, 206)
 8 × 103 = (8, 103)
Negative pair factors of 824 are:
 1 × 824 = (1, 824)
 2 × 412 = (2, 412)
 4 × 206 = (4, 206)
 8 × 103 = (8, 103)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 824 Solved Examples

Example 1: How many factors are there for 824?
Solution:
The factors of 824 are 1, 2, 4, 8, 103, 206, 412, 824. Therefore, 824 has 8 factors.

Example 2: Find the LCM and Greatest Common Factor (GCF) of 824 and 491.
Solution:
The factors of 824 are 1, 2, 4, 8, 103, 206, 412, 824 and factors of 491 are 1, 491.
Therefore, the LCM of 824 and 491 is 404584 and Greatest Common Factor (GCF) of 824 and 491 is 1. 
Example 3: Find if 2, 5, 206, 412 and 824 are factors of 824.
Solution:
When we divide 824 by 5 it leaves a remainder. Therefore, the number 5 is not a factor of 824. All numbers except 5 are factors of 824.

Example 4: Find the product of all the prime factors of 824.
Solution:
Since, the prime factors of 824 are 2, 103. Therefore, the product of prime factors = 2 × 103 = 206.
FAQs on Factors of 824
What are the Factors of 824?
The factors of 824 are 1, 2, 4, 8, 103, 206, 412, 824 and its negative factors are 1, 2, 4, 8, 103, 206, 412, 824.
What is the Sum of the Factors of 824?
Sum of all factors of 824 = (2^{3 + 1}  1)/(2  1) × (103^{1 + 1}  1)/(103  1) = 1560
What are Pair Factors of 824?
The pair factors of 824 are (1, 824), (2, 412), (4, 206), (8, 103).
What is the Greatest Common Factor of 824 and 637?
The factors of 824 are 1, 2, 4, 8, 103, 206, 412, 824 and the factors of 637 are 1, 7, 13, 49, 91, 637. 824 and 637 have only one common factor which is 1. This implies that 824 and 637 are coprime.
Hence, the Greatest Common Factor (GCF) of 824 and 637 is 1.
How Many Factors of 824 are also Factors of 602?
Since, the factors of 824 are 1, 2, 4, 8, 103, 206, 412, 824 and the factors of 602 are 1, 2, 7, 14, 43, 86, 301, 602.
Hence, [1, 2] are the common factors of 824 and 602.
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