Q: What are the factor combinations of the number 48,085?
A:
Positive:
1 x 480855 x 961759 x 815163 x 295
Negative:
-1 x -48085-5 x -9617-59 x -815-163 x -295
A:
Positive:
1 x 480855 x 961759 x 815163 x 295
Negative:
-1 x -48085-5 x -9617-59 x -815-163 x -295
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 48,085, 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 | 48,085 | |
-1 | -48,085 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 48,085.
Example:
1 x 48,085 = 48,085
and
-1 x -48,085 = 48,085
Notice both answers equal 48,085
With that explanation out of the way, let's continue. Next, we take the number 48,085 and divide it by 2:
48,085 ÷ 2 = 24,042.5
If the quotient is a whole number, then 2 and 24,042.5 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 | 48,085 | |
-1 | -48,085 |
Now, we try dividing 48,085 by 3:
48,085 ÷ 3 = 16,028.3333
If the quotient is a whole number, then 3 and 16,028.3333 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 | 48,085 | |
-1 | -48,085 |
Let's try dividing by 4:
48,085 ÷ 4 = 12,021.25
If the quotient is a whole number, then 4 and 12,021.25 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 | 48,085 | |
-1 | 48,085 |
If you did it right, you will end up with this table:
1 | 5 | 59 | 163 | 295 | 815 | 9,617 | 48,085 |
-1 | -5 | -59 | -163 | -295 | -815 | -9,617 | -48,085 |
Here are some more numbers to try:
Try the factor calculator