What are the Factors of 728?

What are the Factors of 728?

The following are the different types of factors of 728:

• Factors of 728: 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

• Negative Factors of 728: -1, -2, -4, -7, -8, -13, -14, -26, -28, -52, -56, -91, -104, -182, -364, -728

• Prime Factors of 728: 2, 7, 13

• Prime Factorization of 728: $2^3\times7^1\times13^1$

Factors by Division Method

To calculate the factors of 728, 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: 728 ÷ 2 = 364
Step 2: 364 ÷ 2 = 182
Step 3: 182 ÷ 2 = 91
Step 4: 91 ÷ 7 = 13
Step 5: 13 ÷ 13 = 1

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

• Prime Factors of 728: $2\times2\times2\times7\times13$

• Prime Factorization of 728: $2^3\times7^1\times13^1$

The factors will be all the multiples of 1, 2, 2, 2, 7, 13, 91, 182, 364, 728

Calculating all the factors:
2 = 1 x 2
4 = 1 x 2 x 2
7 = 1 x 7
8 = 1 x 2 x 2 x 2
13 = 1 x 13
14 = 2 x 7
26 = 2 x 13
28 = 2 x 2 x 7
52 = 2 x 2 x 13
56 = 1 x 2 x 2 x 2 x 7
91 = 1 x 91
104 = 2 x 2 x 2 x 13
182 = 1 x 182
364 = 1 x 364
728 = 1 x 728

Finally Factors of 728 = 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728