What are the Factors of 600?

What are the Factors of 600?

The following are the different types of factors of 600:

• Factors of 600: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

• Negative Factors of 600: -1, -2, -3, -4, -5, -6, -8, -10, -12, -15, -20, -24, -25, -30, -40, -50, -60, -75, -100, -120, -150, -200, -300, -600

• Prime Factors of 600: 2, 3, 5

• Prime Factorization of 600: $2^3\times3^1\times5^2$

Factors by Division Method

To calculate the factors of 600, 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: 600 ÷ 2 = 300
Step 2: 300 ÷ 2 = 150
Step 3: 150 ÷ 2 = 75
Step 4: 75 ÷ 3 = 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 600: $2\times2\times2\times3\times5\times5$

• Prime Factorization of 600: $2^3\times3^1\times5^2$

The factors will be all the multiples of 1, 2, 2, 2, 3, 5, 5, 25, 75, 150, 300, 600

Calculating all the factors:
2 = 1 x 2
3 = 1 x 3
4 = 1 x 2 x 2
5 = 1 x 5
6 = 2 x 3
8 = 1 x 2 x 2 x 2
10 = 2 x 5
12 = 2 x 2 x 3
15 = 3 x 5
20 = 2 x 2 x 5
24 = 1 x 2 x 2 x 2 x 3
25 = 1 x 25
40 = 2 x 2 x 2 x 5
50 = 2 x 25
75 = 1 x 75
100 = 2 x 2 x 25
120 = 1 x 2 x 2 x 2 x 3 x 5
150 = 1 x 150
200 = 2 x 2 x 2 x 25
300 = 1 x 300
600 = 1 x 600

Finally Factors of 600 = 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600