What are the Factors of 828?

What are the Factors of 828?

The following are the different types of factors of 828:

• Factors of 828: 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

• Negative Factors of 828: -1, -2, -3, -4, -6, -9, -12, -18, -23, -36, -46, -69, -92, -138, -207, -276, -414, -828

• Prime Factors of 828: 2, 3, 23

• Prime Factorization of 828: $2^2\times3^2\times23^1$

Factors by Division Method

To calculate the factors of 828, 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: 828 ÷ 2 = 414
Step 2: 414 ÷ 2 = 207
Step 3: 207 ÷ 3 = 69
Step 4: 69 ÷ 3 = 23
Step 5: 23 ÷ 23 = 1

In step 5, we have reached to 1, and so, the process is stopped.

• Prime Factors of 828: $2\times2\times3\times3\times23$

• Prime Factorization of 828: $2^2\times3^2\times23^1$

The factors will be all the multiples of 1, 2, 2, 3, 3, 23, 69, 207, 414, 828

Calculating all the factors:
2 = 1 x 2
3 = 1 x 3
4 = 1 x 2 x 2
6 = 2 x 3
9 = 3 x 3
12 = 1 x 2 x 2 x 3
23 = 1 x 23
36 = 1 x 2 x 2 x 3 x 3
46 = 2 x 23
69 = 1 x 69
92 = 2 x 2 x 23
138 = 2 x 69
207 = 1 x 207
276 = 2 x 2 x 3 x 23
414 = 1 x 414
828 = 1 x 828

Finally Factors of 828 = 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828