Factors of 806 are numbers that, when multiplied in pairs give the product as 806. There are overall 8 factors of 806 among which 806 is the biggest factor and its positive factors are 1, 2, 13, 26, 31, 62, 403, 806. The Prime Factors of 806 are 2 × 13 × 31 and its Factors in Pairs are (1, 806), (2, 403), (13, 62), (26, 31).

• All Factors of 806: 1, 2, 13, 26, 31, 62, 403 and 806
• Negative Factors of 806: -1, -2, -13, -26, -31, -62, -403 and -806
• Prime Factors of 806: 2, 13, 31
• Prime Factorization of 806: 2¹ × 13¹ × 31¹
• Sum of Factors of 806: 1344

1.	What Are the Factors of 806?
2.	Factors of 806 by Prime Factorization
3.	Factors of 806 in Pairs
4.	FAQs on Factors of 806

Factors of 806 are pairs of those numbers whose products result in 806. These factors are either prime numbers or composite numbers.

How to Find the Factors of 806?

To find the factors of 806, we will have to find the list of numbers that would divide 806 without leaving any remainder.

• 806/1 = 806; therefore, 1 is a factor of 806.
• 806/26 = 31; therefore, 26 is a factor of 806.

Similarly we can find other factors. Hence, the factors of 806 are 1, 2, 13, 26, 31, 62, 403, 806.

☛ Also Check:

• Factors of 81 - The factors of 81 are 1, 3, 9, 27, 81
• Factors of 80 - The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80
• Factors of 180 - The factors of 180 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
• Factors of 70 - The factors of 70 are 1, 2, 5, 7, 10, 14, 35, 70
• Factors of 63 - The factors of 63 are 1, 3, 7, 9, 21, 63

The number 806 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 806. The first step is to divide the number 806 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 806 ÷ 2 = 403

Further dividing 403 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 403 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 806 can be written as 2¹ × 13¹ × 31¹ where 2, 13, 31 are prime.

Pair factors of 806 are the pairs of numbers that when multiplied give the product 806. The factors of 806 in pairs are:

• 1 × 806 = (1, 806)
• 2 × 403 = (2, 403)
• 13 × 62 = (13, 62)
• 26 × 31 = (26, 31)

Negative pair factors of 806 are:

• -1 × -806 = (-1, -806)
• -2 × -403 = (-2, -403)
• -13 × -62 = (-13, -62)
• -26 × -31 = (-26, -31)

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