What are the Factors of 364?

What are the Factors of 364?

The following are the different types of factors of 364:

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

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

• Prime Factors of 364: 2, 7, 13

• Prime Factorization of 364: $2^2\times7^1\times13^1$

Factors by Division Method

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

In step 4, we have reached to 1, and so, the process is stopped.

• Prime Factors of 364: $2\times2\times7\times13$

• Prime Factorization of 364: $2^2\times7^1\times13^1$

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

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

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