Factors of 812 are integers that can be divided evenly into 812. There are overall 12 factors of 812 among which 812 is the biggest factor and its prime factors are 2, 7, 29. The sum of all factors of 812 is 1680.

• All Factors of 812: 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406 and 812
• Prime Factors of 812: 2, 7, 29
• Prime Factorization of 812: 2² × 7¹ × 29¹
• Sum of Factors of 812: 1680

1.	What Are the Factors of 812?
2.	Factors of 812 by Prime Factorization
3.	Factors of 812 in Pairs
4.	FAQs on Factors of 812

Factors of 812 are pairs of those numbers whose products result in 812. These factors are either prime numbers or composite numbers.

How to Find the Factors of 812?

To find the factors of 812, we will have to find the list of numbers that would divide 812 without leaving any remainder.

• 812/812 = 1; therefore, 812 is a factor of 812.
• 812/116 = 7; therefore, 116 is a factor of 812.

Similarly we can find other factors. Hence, the factors of 812 are 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812.

☛ Also Check:

• Factors of 31 - The factors of 31 are 1, 31
• Factors of 37 - The factors of 37 are 1, 37
• Factors of 63 - The factors of 63 are 1, 3, 7, 9, 21, 63
• Factors of 56 - The factors of 56 are 1, 2, 4, 7, 8, 14, 28, 56
• Factors of 8 - The factors of 8 are 1, 2, 4, 8

The number 812 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 812. The first step is to divide the number 812 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 812 ÷ 2 = 406
• 406 ÷ 2 = 203

Further dividing 203 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 203 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 812 can be written as 2² × 7¹ × 29¹ where 2, 7, 29 are prime.

Pair factors of 812 are the pairs of numbers that when multiplied give the product 812. The factors of 812 in pairs are:

• 1 × 812 = (1, 812)
• 2 × 406 = (2, 406)
• 4 × 203 = (4, 203)
• 7 × 116 = (7, 116)
• 14 × 58 = (14, 58)
• 28 × 29 = (28, 29)

Negative pair factors of 812 are:

• -1 × -812 = (-1, -812)
• -2 × -406 = (-2, -406)
• -4 × -203 = (-4, -203)
• -7 × -116 = (-7, -116)
• -14 × -58 = (-14, -58)
• -28 × -29 = (-28, -29)

NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.