What are the Factors of 420?

What are the Factors of 420?

The following are the different types of factors of 420:

• Factors of 420: 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

• Negative Factors of 420: -1, -2, -3, -4, -5, -6, -7, -10, -12, -14, -15, -20, -21, -28, -30, -35, -42, -60, -70, -84, -105, -140, -210, -420

• Prime Factors of 420: 2, 3, 5, 7

• Prime Factorization of 420: $2^2\times3^1\times5^1\times7^1$

Factors by Division Method

To calculate the factors of 420, 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: 420 ÷ 2 = 210
Step 2: 210 ÷ 2 = 105
Step 3: 105 ÷ 3 = 35
Step 4: 35 ÷ 5 = 7
Step 5: 7 ÷ 7 = 1

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

• Prime Factors of 420: $2\times2\times3\times5\times7$

• Prime Factorization of 420: $2^2\times3^1\times5^1\times7^1$

The factors will be all the multiples of 1, 2, 2, 3, 5, 7, 35, 105, 210, 420

Calculating all the factors:
2 = 1 x 2
3 = 1 x 3
4 = 1 x 2 x 2
5 = 1 x 5
6 = 2 x 3
7 = 1 x 7
10 = 2 x 5
12 = 1 x 2 x 2 x 3
14 = 2 x 7
15 = 3 x 5
20 = 2 x 2 x 5
21 = 3 x 7
28 = 2 x 2 x 7
35 = 1 x 35
60 = 1 x 2 x 2 x 3 x 5
70 = 2 x 35
84 = 2 x 2 x 3 x 7
105 = 1 x 105
140 = 2 x 2 x 35
210 = 1 x 210
420 = 1 x 420

Finally Factors of 420 = 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420