What are the Factors of 84?

What are the Factors of 84?

The following are the different types of factors of 84:

• Factors of 84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

• Negative Factors of 84: -1, -2, -3, -4, -6, -7, -12, -14, -21, -28, -42, -84

• Prime Factors of 84: 2, 3, 7

• Prime Factorization of 84: $2^2\times3^1\times7^1$

Factors by Division Method

To calculate the factors of 84, 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: 84 ÷ 2 = 42
Step 2: 42 ÷ 2 = 21
Step 3: 21 ÷ 3 = 7
Step 4: 7 ÷ 7 = 1

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

• Prime Factors of 84: $2\times2\times3\times7$

• Prime Factorization of 84: $2^2\times3^1\times7^1$

The factors will be all the multiples of 1, 2, 2, 3, 7, 21, 42, 84

Calculating all the factors:
2 = 1 x 2
3 = 1 x 3
4 = 1 x 2 x 2
6 = 2 x 3
7 = 1 x 7
12 = 1 x 2 x 2 x 3
14 = 2 x 7
21 = 1 x 21
28 = 2 x 2 x 7
42 = 1 x 42
84 = 1 x 84

Finally Factors of 84 = 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84