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: 2³ × 103¹
• 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

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.

Similarly we can find other factors. Hence, the factors of 824 are 1, 2, 4, 8, 103, 206, 412, 824.

☛ Also Check:

• Factors of 35 - The factors of 35 are 1, 5, 7, 35
• Factors of 8 - The factors of 8 are 1, 2, 4, 8
• Factors of 128 - The factors of 128 are 1, 2, 4, 8, 16, 32, 64, 128
• Factors of 12 - The factors of 12 are 1, 2, 3, 4, 6, 12
• Factors of 108 - The factors of 108 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

The number 824 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 824. The first step is to divide the number 824 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 824 ÷ 2 = 412
• 412 ÷ 2 = 206
• 206 ÷ 2 = 103

Further dividing 103 by 2 gives a non-zero 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 2³ × 103¹ where 2, 103 are prime.

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.