What are the Factors of 630?

What are the Factors of 630?

The following are the different types of factors of 630:

• Factors of 630: 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

• Negative Factors of 630: -1, -2, -3, -5, -6, -7, -9, -10, -14, -15, -18, -21, -30, -35, -42, -45, -63, -70, -90, -105, -126, -210, -315, -630

• Prime Factors of 630: 2, 3, 5, 7

• Prime Factorization of 630: $2^1\times3^2\times5^1\times7^1$

Factors by Division Method

To calculate the factors of 630, 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: 630 ÷ 2 = 315
Step 2: 315 ÷ 3 = 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 630: $2\times3\times3\times5\times7$

• Prime Factorization of 630: $2^1\times3^2\times5^1\times7^1$

The factors will be all the multiples of 1, 2, 3, 3, 5, 7, 35, 105, 315, 630

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
9 = 3 x 3
10 = 2 x 5
14 = 2 x 7
15 = 3 x 5
18 = 1 x 2 x 3 x 3
21 = 3 x 7
30 = 2 x 3 x 5
35 = 1 x 35
42 = 2 x 3 x 7
70 = 2 x 35
90 = 1 x 2 x 3 x 3 x 5
105 = 1 x 105
126 = 2 x 3 x 3 x 7
210 = 2 x 105
315 = 1 x 315
630 = 1 x 630

Finally Factors of 630 = 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630