Q: What are the factor combinations of the number 98,707?
A:
Positive:
1 x 987077 x 1410159 x 1673239 x 413
Negative:
-1 x -98707-7 x -14101-59 x -1673-239 x -413
A:
Positive:
1 x 987077 x 1410159 x 1673239 x 413
Negative:
-1 x -98707-7 x -14101-59 x -1673-239 x -413
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 98,707, 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 | 98,707 | |
-1 | -98,707 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 98,707.
Example:
1 x 98,707 = 98,707
and
-1 x -98,707 = 98,707
Notice both answers equal 98,707
With that explanation out of the way, let's continue. Next, we take the number 98,707 and divide it by 2:
98,707 ÷ 2 = 49,353.5
If the quotient is a whole number, then 2 and 49,353.5 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 | 98,707 | |
-1 | -98,707 |
Now, we try dividing 98,707 by 3:
98,707 ÷ 3 = 32,902.3333
If the quotient is a whole number, then 3 and 32,902.3333 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 | 98,707 | |
-1 | -98,707 |
Let's try dividing by 4:
98,707 ÷ 4 = 24,676.75
If the quotient is a whole number, then 4 and 24,676.75 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 | 98,707 | |
-1 | 98,707 |
If you did it right, you will end up with this table:
1 | 7 | 59 | 239 | 413 | 1,673 | 14,101 | 98,707 |
-1 | -7 | -59 | -239 | -413 | -1,673 | -14,101 | -98,707 |
Here are some more numbers to try:
Try the factor calculator