What are the Factors of 200?

What are the Factors of 200?

The following are the different types of factors of 200:

• Factors of 200: 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

• Negative Factors of 200: -1, -2, -4, -5, -8, -10, -20, -25, -40, -50, -100, -200

• Prime Factors of 200: 2, 5

• Prime Factorization of 200: $2^3\times5^2$

Factors by Division Method

To calculate the factors of 200, 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: 200 ÷ 2 = 100
Step 2: 100 ÷ 2 = 50
Step 3: 50 ÷ 2 = 25
Step 4: 25 ÷ 5 = 5
Step 5: 5 ÷ 5 = 1

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

• Prime Factors of 200: $2\times2\times2\times5\times5$

• Prime Factorization of 200: $2^3\times5^2$

The factors will be all the multiples of 1, 2, 2, 2, 5, 5, 25, 50, 100, 200

Calculating all the factors:
2 = 1 x 2
4 = 1 x 2 x 2
5 = 1 x 5
8 = 1 x 2 x 2 x 2
10 = 2 x 5
20 = 2 x 2 x 5
25 = 1 x 25
40 = 1 x 2 x 2 x 2 x 5
50 = 1 x 50
100 = 1 x 100
200 = 1 x 200

Finally Factors of 200 = 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200