Factors of 819 are the list of integers that we can split evenly into 819. There are 12 factors of 819, of which the following are its prime factors 3, 7, 13. The Prime Factorization of 819 is 3² × 7¹ × 13¹.

• All Factors of 819: 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273 and 819
• Prime Factors of 819: 3, 7, 13
• Prime Factorization of 819: 3² × 7¹ × 13¹
• Sum of Factors of 819: 1456

1.	What Are the Factors of 819?
2.	Factors of 819 by Prime Factorization
3.	Factors of 819 in Pairs
4.	FAQs on Factors of 819

Factors of 819 are pairs of those numbers whose products result in 819. These factors are either prime numbers or composite numbers.

How to Find the Factors of 819?

To find the factors of 819, we will have to find the list of numbers that would divide 819 without leaving any remainder.

• 819/117 = 7; therefore, 117 is a factor of 819 and 7 is also a factor of 819.
• 819/21 = 39; therefore, 21 is a factor of 819 and 39 is also a factor of 819.

Similarly we can find other factors. Hence, the factors of 819 are 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819.

☛ Also Check:

• Factors of 33 - The factors of 33 are 1, 3, 11, 33
• Factors of 91 - The factors of 91 are 1, 7, 13, 91
• Factors of 29 - The factors of 29 are 1, 29
• Factors of 125 - The factors of 125 are 1, 5, 25, 125
• Factors of 78 - The factors of 78 are 1, 2, 3, 6, 13, 26, 39, 78

The number 819 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 819. The first step is to divide the number 819 with the smallest prime factor, here it is 3. We keep dividing until it gives a non-zero remainder.

• 819 ÷ 3 = 273
• 273 ÷ 3 = 91

Further dividing 91 by 3 gives a non-zero remainder. So we stop the process and continue dividing the number 91 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 819 can be written as 3² × 7¹ × 13¹ where 3, 7, 13 are prime.

Pair factors of 819 are the pairs of numbers that when multiplied give the product 819. The factors of 819 in pairs are:

• 1 × 819 = (1, 819)
• 3 × 273 = (3, 273)
• 7 × 117 = (7, 117)
• 9 × 91 = (9, 91)
• 13 × 63 = (13, 63)
• 21 × 39 = (21, 39)

Negative pair factors of 819 are:

• -1 × -819 = (-1, -819)
• -3 × -273 = (-3, -273)
• -7 × -117 = (-7, -117)
• -9 × -91 = (-9, -91)
• -13 × -63 = (-13, -63)
• -21 × -39 = (-21, -39)

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