What are the Factors of 510?

What are the Factors of 510?

The following are the different types of factors of 510:

• Factors of 510: 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

• Negative Factors of 510: -1, -2, -3, -5, -6, -10, -15, -17, -30, -34, -51, -85, -102, -170, -255, -510

• Prime Factors of 510: 2, 3, 5, 17

• Prime Factorization of 510: $2^1\times3^1\times5^1\times17^1$

Factors by Division Method

To calculate the factors of 510, 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: 510 ÷ 2 = 255
Step 2: 255 ÷ 3 = 85
Step 3: 85 ÷ 5 = 17
Step 4: 17 ÷ 17 = 1

In step 4, we have reached to 1, and so, the process is stopped.

• Prime Factors of 510: $2\times3\times5\times17$

• Prime Factorization of 510: $2^1\times3^1\times5^1\times17^1$

The factors will be all the multiples of 1, 2, 3, 5, 17, 85, 255, 510

Calculating all the factors:
2 = 1 x 2
3 = 1 x 3
5 = 1 x 5
6 = 1 x 2 x 3
10 = 2 x 5
15 = 3 x 5
17 = 1 x 17
30 = 1 x 2 x 3 x 5
34 = 2 x 17
51 = 3 x 17
85 = 1 x 85
102 = 2 x 3 x 17
170 = 2 x 85
255 = 1 x 255
510 = 1 x 510

Finally Factors of 510 = 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510