What are the Factors of 210?

What are the Factors of 210?

The following are the different types of factors of 210:

• Factors of 210: 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

• Negative Factors of 210: -1, -2, -3, -5, -6, -7, -10, -14, -15, -21, -30, -35, -42, -70, -105, -210

• Prime Factors of 210: 2, 3, 5, 7

• Prime Factorization of 210: $2^1\times3^1\times5^1\times7^1$

Factors by Division Method

To calculate the factors of 210, 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: 210 ÷ 2 = 105
Step 2: 105 ÷ 3 = 35
Step 3: 35 ÷ 5 = 7
Step 4: 7 ÷ 7 = 1

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

• Prime Factors of 210: $2\times3\times5\times7$

• Prime Factorization of 210: $2^1\times3^1\times5^1\times7^1$

The factors will be all the multiples of 1, 2, 3, 5, 7, 35, 105, 210

Calculating all the factors:
2 = 1 x 2
3 = 1 x 3
5 = 1 x 5
6 = 1 x 2 x 3
7 = 1 x 7
10 = 2 x 5
14 = 2 x 7
15 = 3 x 5
21 = 3 x 7
30 = 1 x 2 x 3 x 5
35 = 1 x 35
42 = 2 x 3 x 7
70 = 2 x 35
105 = 1 x 105
210 = 1 x 210

Finally Factors of 210 = 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210