Q: What are the factor combinations of the number 808,525?
A:
Positive:
1 x 8085255 x 16170525 x 32341
Negative:
-1 x -808525-5 x -161705-25 x -32341
A:
Positive:
1 x 8085255 x 16170525 x 32341
Negative:
-1 x -808525-5 x -161705-25 x -32341
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 808,525, 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 | 808,525 | |
-1 | -808,525 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 808,525.
Example:
1 x 808,525 = 808,525
and
-1 x -808,525 = 808,525
Notice both answers equal 808,525
With that explanation out of the way, let's continue. Next, we take the number 808,525 and divide it by 2:
808,525 ÷ 2 = 404,262.5
If the quotient is a whole number, then 2 and 404,262.5 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 | 808,525 | |
-1 | -808,525 |
Now, we try dividing 808,525 by 3:
808,525 ÷ 3 = 269,508.3333
If the quotient is a whole number, then 3 and 269,508.3333 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 | 808,525 | |
-1 | -808,525 |
Let's try dividing by 4:
808,525 ÷ 4 = 202,131.25
If the quotient is a whole number, then 4 and 202,131.25 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 | 808,525 | |
-1 | 808,525 |
If you did it right, you will end up with this table:
1 | 5 | 25 | 32,341 | 161,705 | 808,525 |
-1 | -5 | -25 | -32,341 | -161,705 | -808,525 |
Here are some more numbers to try:
Try the factor calculator