What are the Factors of 400?

What are the Factors of 400?

The following are the different types of factors of 400:

• Factors of 400: 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

• Negative Factors of 400: -1, -2, -4, -5, -8, -10, -16, -20, -25, -40, -50, -80, -100, -200, -400

• Prime Factors of 400: 2, 5

• Prime Factorization of 400: $2^4\times5^2$

Factors by Division Method

To calculate the factors of 400, 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: 400 ÷ 2 = 200
Step 2: 200 ÷ 2 = 100
Step 3: 100 ÷ 2 = 50
Step 4: 50 ÷ 2 = 25
Step 5: 25 ÷ 5 = 5
Step 6: 5 ÷ 5 = 1

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

• Prime Factors of 400: $2\times2\times2\times2\times5\times5$

• Prime Factorization of 400: $2^4\times5^2$

The factors will be all the multiples of 1, 2, 2, 2, 2, 5, 5, 25, 50, 100, 200, 400

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
16 = 1 x 2 x 2 x 2 x 2
20 = 2 x 2 x 5
25 = 1 x 25
40 = 2 x 2 x 2 x 5
50 = 1 x 50
80 = 1 x 2 x 2 x 2 x 2 x 5
100 = 1 x 100
200 = 1 x 200
400 = 1 x 400

Finally Factors of 400 = 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400