What are the Factors of 504?

What are the Factors of 504?

The following are the different types of factors of 504:

• Factors of 504: 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

• Negative Factors of 504: -1, -2, -3, -4, -6, -7, -8, -9, -12, -14, -18, -21, -24, -28, -36, -42, -56, -63, -72, -84, -126, -168, -252, -504

• Prime Factors of 504: 2, 3, 7

• Prime Factorization of 504: $2^3\times3^2\times7^1$

Factors by Division Method

To calculate the factors of 504, 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: 504 ÷ 2 = 252
Step 2: 252 ÷ 2 = 126
Step 3: 126 ÷ 2 = 63
Step 4: 63 ÷ 3 = 21
Step 5: 21 ÷ 3 = 7
Step 6: 7 ÷ 7 = 1

In step 6, we have reached to 1, and so, the process is stopped.

• Prime Factors of 504: $2\times2\times2\times3\times3\times7$

• Prime Factorization of 504: $2^3\times3^2\times7^1$

The factors will be all the multiples of 1, 2, 2, 2, 3, 3, 7, 21, 63, 126, 252, 504

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
9 = 3 x 3
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 = 2 x 21
56 = 2 x 2 x 2 x 7
63 = 1 x 63
72 = 1 x 2 x 2 x 2 x 3 x 3
84 = 2 x 2 x 21
126 = 1 x 126
168 = 2 x 2 x 2 x 3 x 7
252 = 1 x 252
504 = 1 x 504

Finally Factors of 504 = 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504