Q: What are the factor combinations of the number 81,313?
A:
Positive:
1 x 8131331 x 262343 x 189161 x 1333
Negative:
-1 x -81313-31 x -2623-43 x -1891-61 x -1333
A:
Positive:
1 x 8131331 x 262343 x 189161 x 1333
Negative:
-1 x -81313-31 x -2623-43 x -1891-61 x -1333
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 81,313, 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 | 81,313 | |
-1 | -81,313 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 81,313.
Example:
1 x 81,313 = 81,313
and
-1 x -81,313 = 81,313
Notice both answers equal 81,313
With that explanation out of the way, let's continue. Next, we take the number 81,313 and divide it by 2:
81,313 ÷ 2 = 40,656.5
If the quotient is a whole number, then 2 and 40,656.5 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 | 81,313 | |
-1 | -81,313 |
Now, we try dividing 81,313 by 3:
81,313 ÷ 3 = 27,104.3333
If the quotient is a whole number, then 3 and 27,104.3333 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 | 81,313 | |
-1 | -81,313 |
Let's try dividing by 4:
81,313 ÷ 4 = 20,328.25
If the quotient is a whole number, then 4 and 20,328.25 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 | 81,313 | |
-1 | 81,313 |
If you did it right, you will end up with this table:
1 | 31 | 43 | 61 | 1,333 | 1,891 | 2,623 | 81,313 |
-1 | -31 | -43 | -61 | -1,333 | -1,891 | -2,623 | -81,313 |
Here are some more numbers to try:
Try the factor calculator