What are the Factors of 360?

What are the Factors of 360?

The following are the different types of factors of 360:

• Factors of 360: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

• Negative Factors of 360: -1, -2, -3, -4, -5, -6, -8, -9, -10, -12, -15, -18, -20, -24, -30, -36, -40, -45, -60, -72, -90, -120, -180, -360

• Prime Factors of 360: 2, 3, 5

• Prime Factorization of 360: $2^3\times3^2\times5^1$

Factors by Division Method

To calculate the factors of 360, 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: 360 ÷ 2 = 180
Step 2: 180 ÷ 2 = 90
Step 3: 90 ÷ 2 = 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 360: $2\times2\times2\times3\times3\times5$

• Prime Factorization of 360: $2^3\times3^2\times5^1$

The factors will be all the multiples of 1, 2, 2, 2, 3, 3, 5, 15, 45, 90, 180, 360

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
9 = 3 x 3
10 = 2 x 5
12 = 2 x 2 x 3
15 = 1 x 15
20 = 2 x 2 x 5
24 = 1 x 2 x 2 x 2 x 3
30 = 2 x 15
40 = 2 x 2 x 2 x 5
45 = 1 x 45
60 = 2 x 2 x 15
72 = 1 x 2 x 2 x 2 x 3 x 3
90 = 1 x 90
120 = 2 x 2 x 2 x 3 x 5
180 = 1 x 180
360 = 1 x 360

Finally Factors of 360 = 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360