What are the Factors of 819?

Answer: Factors of 819 are 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

What are the Factors of 819?

The following are the different types of factors of 819:

• Factors of 819: 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

• Negative Factors of 819: -1, -3, -7, -9, -13, -21, -39, -63, -91, -117, -273, -819

• Prime Factors of 819: 3, 7, 13

• Prime Factorization of 819: 32×71×1313^2\times7^1\times13^1

Factors by Division Method

To calculate the factors of 819, start by dividing the numbers by the smallest prime number, which is 2. If the number is not divisible by 2, proceed to the next prime number, such as 3, 5, 7, 11, 13, and continue this process until you reach 1.


Step 1: 819 ÷ 3 = 273
Step 2: 273 ÷ 3 = 91
Step 3: 91 ÷ 7 = 13
Step 4: 13 ÷ 13 = 1

In step 4, we have reached to 1, and so, the process is stopped.

• Prime Factors of 819: 3×3×7×133\times3\times7\times13

• Prime Factorization of 819: 32×71×1313^2\times7^1\times13^1

The factors will be all the multiples of 1, 3, 3, 7, 13, 91, 273, 819

Calculating all the factors:
3 = 1 x 3
7 = 1 x 7
9 = 1 x 3 x 3
13 = 1 x 13
21 = 3 x 7
39 = 3 x 13
63 = 1 x 3 x 3 x 7
91 = 1 x 91
117 = 3 x 3 x 13
273 = 1 x 273
819 = 1 x 819

Finally Factors of 819 = 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819