What are the Factors of 882?

What are the Factors of 882?

The following are the different types of factors of 882:

• Factors of 882: 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

• Negative Factors of 882: -1, -2, -3, -6, -7, -9, -14, -18, -21, -42, -49, -63, -98, -126, -147, -294, -441, -882

• Prime Factors of 882: 2, 3, 7

• Prime Factorization of 882: $2^1\times3^2\times7^2$

Factors by Division Method

To calculate the factors of 882, 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: 882 ÷ 2 = 441
Step 2: 441 ÷ 3 = 147
Step 3: 147 ÷ 3 = 49
Step 4: 49 ÷ 7 = 7
Step 5: 7 ÷ 7 = 1

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

• Prime Factors of 882: $2\times3\times3\times7\times7$

• Prime Factorization of 882: $2^1\times3^2\times7^2$

The factors will be all the multiples of 1, 2, 3, 3, 7, 7, 49, 147, 441, 882

Calculating all the factors:
2 = 1 x 2
3 = 1 x 3
6 = 1 x 2 x 3
7 = 1 x 7
9 = 3 x 3
14 = 2 x 7
18 = 1 x 2 x 3 x 3
21 = 3 x 7
42 = 2 x 3 x 7
49 = 1 x 49
98 = 2 x 49
126 = 1 x 2 x 3 x 3 x 7
147 = 1 x 147
294 = 2 x 147
441 = 1 x 441
882 = 1 x 882

Finally Factors of 882 = 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882