What are the Factors of 480?

What are the Factors of 480?

The following are the different types of factors of 480:

• Factors of 480: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

• Negative Factors of 480: -1, -2, -3, -4, -5, -6, -8, -10, -12, -15, -16, -20, -24, -30, -32, -40, -48, -60, -80, -96, -120, -160, -240, -480

• Prime Factors of 480: 2, 3, 5

• Prime Factorization of 480: $2^5\times3^1\times5^1$

Factors by Division Method

To calculate the factors of 480, 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: 480 ÷ 2 = 240
Step 2: 240 ÷ 2 = 120
Step 3: 120 ÷ 2 = 60
Step 4: 60 ÷ 2 = 30
Step 5: 30 ÷ 2 = 15
Step 6: 15 ÷ 3 = 5
Step 7: 5 ÷ 5 = 1

In step 7, we have reached to 1, and so, the process is stopped.

• Prime Factors of 480: $2\times2\times2\times2\times2\times3\times5$

• Prime Factorization of 480: $2^5\times3^1\times5^1$

The factors will be all the multiples of 1, 2, 2, 2, 2, 2, 3, 5, 15, 30, 60, 120, 240, 480

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
32 = 1 x 2 x 2 x 2 x 2 x 2
40 = 2 x 2 x 2 x 5
48 = 2 x 2 x 2 x 2 x 3
60 = 1 x 60
80 = 2 x 2 x 2 x 2 x 5
96 = 1 x 2 x 2 x 2 x 2 x 2 x 3
120 = 1 x 120
160 = 2 x 2 x 2 x 2 x 2 x 5
240 = 1 x 240
480 = 1 x 480

Finally Factors of 480 = 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480