What are the Factors of 240?

What are the Factors of 240?

The following are the different types of factors of 240:

• Factors of 240: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

• Negative Factors of 240: -1, -2, -3, -4, -5, -6, -8, -10, -12, -15, -16, -20, -24, -30, -40, -48, -60, -80, -120, -240

• Prime Factors of 240: 2, 3, 5

• Prime Factorization of 240: $2^4\times3^1\times5^1$

Factors by Division Method

To calculate the factors of 240, 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: 240 ÷ 2 = 120
Step 2: 120 ÷ 2 = 60
Step 3: 60 ÷ 2 = 30
Step 4: 30 ÷ 2 = 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 240: $2\times2\times2\times2\times3\times5$

• Prime Factorization of 240: $2^4\times3^1\times5^1$

The factors will be all the multiples of 1, 2, 2, 2, 2, 3, 5, 15, 30, 60, 120, 240

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 = 1 x 15
16 = 1 x 2 x 2 x 2 x 2
20 = 2 x 2 x 5
24 = 2 x 2 x 2 x 3
30 = 1 x 30
40 = 2 x 2 x 2 x 5
48 = 1 x 2 x 2 x 2 x 2 x 3
60 = 1 x 60
80 = 2 x 2 x 2 x 2 x 5
120 = 1 x 120
240 = 1 x 240

Finally Factors of 240 = 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240