What are the Factors of 168?

What are the Factors of 168?

The following are the different types of factors of 168:

• Factors of 168: 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

• Negative Factors of 168: -1, -2, -3, -4, -6, -7, -8, -12, -14, -21, -24, -28, -42, -56, -84, -168

• Prime Factors of 168: 2, 3, 7

• Prime Factorization of 168: $2^3\times3^1\times7^1$

Factors by Division Method

To calculate the factors of 168, 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: 168 ÷ 2 = 84
Step 2: 84 ÷ 2 = 42
Step 3: 42 ÷ 2 = 21
Step 4: 21 ÷ 3 = 7
Step 5: 7 ÷ 7 = 1

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

• Prime Factors of 168: $2\times2\times2\times3\times7$

• Prime Factorization of 168: $2^3\times3^1\times7^1$

The factors will be all the multiples of 1, 2, 2, 2, 3, 7, 21, 42, 84, 168

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
8 = 1 x 2 x 2 x 2
12 = 2 x 2 x 3
14 = 2 x 7
21 = 1 x 21
24 = 1 x 2 x 2 x 2 x 3
28 = 2 x 2 x 7
42 = 1 x 42
56 = 2 x 2 x 2 x 7
84 = 1 x 84
168 = 1 x 168

Finally Factors of 168 = 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168