To find the factors of 135, we need to determine which whole numbers can be multiplied together to get 135.
First, we can start by dividing 135 by the smallest prime number, which is 2. Since 135 is odd, it’s not divisible by 2. The next prime number is 3, and indeed, 135 can be divided by 3.
So we calculate:
135 ÷ 3 = 45
Now we have a factor: 3. Next, we can find the factors of 45. Continuing this process, we can divide 45 by 3 again:
45 ÷ 3 = 15
Now, we have another factor: 3. We can divide 15 by 3 once more:
15 ÷ 3 = 5
This gives us a third factor: 3. At this point, we have reached 5, which is a prime number itself.
Now let’s compile all the factors of 135:
1, 3, 5, 9, 15, 27, 45, and 135.
These numbers are all the integers that divide 135 without leaving a remainder. In conclusion, the factors of 135 are:
- 1
- 3
- 5
- 9
- 15
- 27
- 45
- 135