Q: What are the factor combinations of the number 36,115?
A:
Positive:
1 x 361155 x 722331 x 1165155 x 233
Negative:
-1 x -36115-5 x -7223-31 x -1165-155 x -233
A:
Positive:
1 x 361155 x 722331 x 1165155 x 233
Negative:
-1 x -36115-5 x -7223-31 x -1165-155 x -233
Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 36,115, it is easier to work with a table - it's called factoring from the outside in.
We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.
1 | 36,115 | |
-1 | -36,115 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 36,115.
Example:
1 x 36,115 = 36,115
and
-1 x -36,115 = 36,115
Notice both answers equal 36,115
With that explanation out of the way, let's continue. Next, we take the number 36,115 and divide it by 2:
36,115 ÷ 2 = 18,057.5
If the quotient is a whole number, then 2 and 18,057.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
1 | 36,115 | |
-1 | -36,115 |
Now, we try dividing 36,115 by 3:
36,115 ÷ 3 = 12,038.3333
If the quotient is a whole number, then 3 and 12,038.3333 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
1 | 36,115 | |
-1 | -36,115 |
Let's try dividing by 4:
36,115 ÷ 4 = 9,028.75
If the quotient is a whole number, then 4 and 9,028.75 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
1 | 36,115 | |
-1 | 36,115 |
If you did it right, you will end up with this table:
1 | 5 | 31 | 155 | 233 | 1,165 | 7,223 | 36,115 |
-1 | -5 | -31 | -155 | -233 | -1,165 | -7,223 | -36,115 |
Here are some more numbers to try:
Try the factor calculator