Q: What are the factor combinations of the number 89,609?
A:
Positive:
1 x 8960913 x 689361 x 1469113 x 793
Negative:
-1 x -89609-13 x -6893-61 x -1469-113 x -793
A:
Positive:
1 x 8960913 x 689361 x 1469113 x 793
Negative:
-1 x -89609-13 x -6893-61 x -1469-113 x -793
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 89,609, 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 | 89,609 | |
-1 | -89,609 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 89,609.
Example:
1 x 89,609 = 89,609
and
-1 x -89,609 = 89,609
Notice both answers equal 89,609
With that explanation out of the way, let's continue. Next, we take the number 89,609 and divide it by 2:
89,609 ÷ 2 = 44,804.5
If the quotient is a whole number, then 2 and 44,804.5 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 | 89,609 | |
-1 | -89,609 |
Now, we try dividing 89,609 by 3:
89,609 ÷ 3 = 29,869.6667
If the quotient is a whole number, then 3 and 29,869.6667 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 | 89,609 | |
-1 | -89,609 |
Let's try dividing by 4:
89,609 ÷ 4 = 22,402.25
If the quotient is a whole number, then 4 and 22,402.25 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 | 89,609 | |
-1 | 89,609 |
If you did it right, you will end up with this table:
1 | 13 | 61 | 113 | 793 | 1,469 | 6,893 | 89,609 |
-1 | -13 | -61 | -113 | -793 | -1,469 | -6,893 | -89,609 |
Here are some more numbers to try:
Try the factor calculator