What are the Factors of 784?

What are the Factors of 784?

The following are the different types of factors of 784:

• Factors of 784: 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

• Negative Factors of 784: -1, -2, -4, -7, -8, -14, -16, -28, -49, -56, -98, -112, -196, -392, -784

• Prime Factors of 784: 2, 7

• Prime Factorization of 784: $2^4\times7^2$

Factors by Division Method

To calculate the factors of 784, 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: 784 ÷ 2 = 392
Step 2: 392 ÷ 2 = 196
Step 3: 196 ÷ 2 = 98
Step 4: 98 ÷ 2 = 49
Step 5: 49 ÷ 7 = 7
Step 6: 7 ÷ 7 = 1

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

• Prime Factors of 784: $2\times2\times2\times2\times7\times7$

• Prime Factorization of 784: $2^4\times7^2$

The factors will be all the multiples of 1, 2, 2, 2, 2, 7, 7, 49, 98, 196, 392, 784

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
14 = 2 x 7
16 = 1 x 2 x 2 x 2 x 2
28 = 2 x 2 x 7
49 = 1 x 49
56 = 2 x 2 x 2 x 7
98 = 1 x 98
112 = 1 x 2 x 2 x 2 x 2 x 7
196 = 1 x 196
392 = 1 x 392
784 = 1 x 784

Finally Factors of 784 = 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784