What are the Factors of 540?

What are the Factors of 540?

The following are the different types of factors of 540:

• Factors of 540: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

• Negative Factors of 540: -1, -2, -3, -4, -5, -6, -9, -10, -12, -15, -18, -20, -27, -30, -36, -45, -54, -60, -90, -108, -135, -180, -270, -540

• Prime Factors of 540: 2, 3, 5

• Prime Factorization of 540: $2^2\times3^3\times5^1$

Factors by Division Method

To calculate the factors of 540, 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: 540 ÷ 2 = 270
Step 2: 270 ÷ 2 = 135
Step 3: 135 ÷ 3 = 45
Step 4: 45 ÷ 3 = 15
Step 5: 15 ÷ 3 = 5
Step 6: 5 ÷ 5 = 1

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

• Prime Factors of 540: $2\times2\times3\times3\times3\times5$

• Prime Factorization of 540: $2^2\times3^3\times5^1$

The factors will be all the multiples of 1, 2, 2, 3, 3, 3, 5, 15, 45, 135, 270, 540

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
9 = 3 x 3
10 = 2 x 5
12 = 1 x 2 x 2 x 3
15 = 1 x 15
20 = 2 x 2 x 5
30 = 2 x 15
36 = 1 x 2 x 2 x 3 x 3
45 = 1 x 45
60 = 2 x 2 x 3 x 5
90 = 2 x 45
108 = 1 x 2 x 2 x 3 x 3 x 3
135 = 1 x 135
180 = 2 x 2 x 3 x 3 x 5
270 = 1 x 270
540 = 1 x 540

Finally Factors of 540 = 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540