What are the Factors of 224?

What are the Factors of 224?

The following are the different types of factors of 224:

• Factors of 224: 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

• Negative Factors of 224: -1, -2, -4, -7, -8, -14, -16, -28, -32, -56, -112, -224

• Prime Factors of 224: 2, 7

• Prime Factorization of 224: $2^5\times7^1$

Factors by Division Method

To calculate the factors of 224, 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: 224 ÷ 2 = 112
Step 2: 112 ÷ 2 = 56
Step 3: 56 ÷ 2 = 28
Step 4: 28 ÷ 2 = 14
Step 5: 14 ÷ 2 = 7
Step 6: 7 ÷ 7 = 1

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

• Prime Factors of 224: $2\times2\times2\times2\times2\times7$

• Prime Factorization of 224: $2^5\times7^1$

The factors will be all the multiples of 1, 2, 2, 2, 2, 2, 7, 14, 28, 56, 112, 224

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 = 1 x 14
16 = 1 x 2 x 2 x 2 x 2
28 = 1 x 28
32 = 1 x 2 x 2 x 2 x 2 x 2
56 = 1 x 56
112 = 1 x 112
224 = 1 x 224

Finally Factors of 224 = 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224