Q: What are the factor combinations of the number 68,789?
A:
Positive:
1 x 687897 x 982731 x 2219217 x 317
Negative:
-1 x -68789-7 x -9827-31 x -2219-217 x -317
A:
Positive:
1 x 687897 x 982731 x 2219217 x 317
Negative:
-1 x -68789-7 x -9827-31 x -2219-217 x -317
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 68,789, 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 | 68,789 | |
-1 | -68,789 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 68,789.
Example:
1 x 68,789 = 68,789
and
-1 x -68,789 = 68,789
Notice both answers equal 68,789
With that explanation out of the way, let's continue. Next, we take the number 68,789 and divide it by 2:
68,789 ÷ 2 = 34,394.5
If the quotient is a whole number, then 2 and 34,394.5 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 | 68,789 | |
-1 | -68,789 |
Now, we try dividing 68,789 by 3:
68,789 ÷ 3 = 22,929.6667
If the quotient is a whole number, then 3 and 22,929.6667 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 | 68,789 | |
-1 | -68,789 |
Let's try dividing by 4:
68,789 ÷ 4 = 17,197.25
If the quotient is a whole number, then 4 and 17,197.25 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 | 68,789 | |
-1 | 68,789 |
If you did it right, you will end up with this table:
1 | 7 | 31 | 217 | 317 | 2,219 | 9,827 | 68,789 |
-1 | -7 | -31 | -217 | -317 | -2,219 | -9,827 | -68,789 |
Here are some more numbers to try:
Try the factor calculator