Q: What are the factor combinations of the number 87,989?
A:
Positive:
1 x 8798911 x 799919 x 4631209 x 421
Negative:
-1 x -87989-11 x -7999-19 x -4631-209 x -421
A:
Positive:
1 x 8798911 x 799919 x 4631209 x 421
Negative:
-1 x -87989-11 x -7999-19 x -4631-209 x -421
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 87,989, 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 | 87,989 | |
-1 | -87,989 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 87,989.
Example:
1 x 87,989 = 87,989
and
-1 x -87,989 = 87,989
Notice both answers equal 87,989
With that explanation out of the way, let's continue. Next, we take the number 87,989 and divide it by 2:
87,989 ÷ 2 = 43,994.5
If the quotient is a whole number, then 2 and 43,994.5 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 | 87,989 | |
-1 | -87,989 |
Now, we try dividing 87,989 by 3:
87,989 ÷ 3 = 29,329.6667
If the quotient is a whole number, then 3 and 29,329.6667 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 | 87,989 | |
-1 | -87,989 |
Let's try dividing by 4:
87,989 ÷ 4 = 21,997.25
If the quotient is a whole number, then 4 and 21,997.25 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 | 87,989 | |
-1 | 87,989 |
If you did it right, you will end up with this table:
1 | 11 | 19 | 209 | 421 | 4,631 | 7,999 | 87,989 |
-1 | -11 | -19 | -209 | -421 | -4,631 | -7,999 | -87,989 |
Here are some more numbers to try:
Try the factor calculator