Q: What are the factor combinations of the number 90,005?
A:
Positive:
1 x 900055 x 1800147 x 1915235 x 383
Negative:
-1 x -90005-5 x -18001-47 x -1915-235 x -383
A:
Positive:
1 x 900055 x 1800147 x 1915235 x 383
Negative:
-1 x -90005-5 x -18001-47 x -1915-235 x -383
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 90,005, 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 | 90,005 | |
-1 | -90,005 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 90,005.
Example:
1 x 90,005 = 90,005
and
-1 x -90,005 = 90,005
Notice both answers equal 90,005
With that explanation out of the way, let's continue. Next, we take the number 90,005 and divide it by 2:
90,005 ÷ 2 = 45,002.5
If the quotient is a whole number, then 2 and 45,002.5 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 | 90,005 | |
-1 | -90,005 |
Now, we try dividing 90,005 by 3:
90,005 ÷ 3 = 30,001.6667
If the quotient is a whole number, then 3 and 30,001.6667 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 | 90,005 | |
-1 | -90,005 |
Let's try dividing by 4:
90,005 ÷ 4 = 22,501.25
If the quotient is a whole number, then 4 and 22,501.25 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 | 90,005 | |
-1 | 90,005 |
If you did it right, you will end up with this table:
1 | 5 | 47 | 235 | 383 | 1,915 | 18,001 | 90,005 |
-1 | -5 | -47 | -235 | -383 | -1,915 | -18,001 | -90,005 |
Here are some more numbers to try:
Try the factor calculator