What are the Factors of 765?

What are the Factors of 765?

The following are the different types of factors of 765:

• Factors of 765: 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

• Negative Factors of 765: -1, -3, -5, -9, -15, -17, -45, -51, -85, -153, -255, -765

• Prime Factors of 765: 3, 5, 17

• Prime Factorization of 765: $3^2\times5^1\times17^1$

Factors by Division Method

To calculate the factors of 765, 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: 765 ÷ 3 = 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 765: $3\times3\times5\times17$

• Prime Factorization of 765: $3^2\times5^1\times17^1$

The factors will be all the multiples of 1, 3, 3, 5, 17, 85, 255, 765

Calculating all the factors:
3 = 1 x 3
5 = 1 x 5
9 = 1 x 3 x 3
15 = 3 x 5
17 = 1 x 17
45 = 1 x 3 x 3 x 5
51 = 3 x 17
85 = 1 x 85
153 = 3 x 3 x 17
255 = 1 x 255
765 = 1 x 765

Finally Factors of 765 = 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765