what are the factors of 45
The factors of 45 are 1, 3, 5, 9, 15, and 45.
To find the factors of 45, we need to determine all the numbers that divide evenly into 45.
Let's start with the number 1:
45 ÷ 1 = 45.
So, 1 is a factor of 45.
Next, we try the number 2:
45 ÷ 2 = 22.5.
Since 22.5 is not a whole number, 2 is not a factor of 45.
Then, we try the number 3:
45 ÷ 3 = 15.
15 is a whole number, so 3 is a factor of 45.
Next, we try the number 4:
45 ÷ 4 = 11.25.
Since 11.25 is not a whole number, 4 is not a factor of 45.
Then, we try the number 5:
45 ÷ 5 = 9.
9 is a whole number, so 5 is a factor of 45.
Lastly, we try the number 6:
45 ÷ 6 = 7.5.
Since 7.5 is not a whole number, 6 is not a factor of 45.
Therefore, the factors of 45 are 1, 3, 5, and 45.
To find the factors of 45, we need to determine all the numbers that divide evenly into 45 without leaving a remainder.
To do this, we can start by dividing 45 by the smallest prime number, which is 2. Since 45 is an odd number and not divisible by 2, we move to the next prime number, which is 3. We find that 45 divided by 3 is equal to 15.
Now, we repeat the process with the quotient 15. We divide it by the smallest prime number, which is 2, but it is not divisible. We move on to the next prime number, which is 3. Dividing 15 by 3 gives us a quotient of 5.
Finally, we divide the quotient 5 by the smallest prime number, which is 2, and find that it is not divisible. We move to the next prime number, which is 3, but it is also not divisible. At this point, we stop since we have tried all prime numbers less than or equal to the square root of 5.
Therefore, the factors of 45 are 1, 3, 5, 9, 15, and 45.