A:
Positive:
1 x 50502530931 x 1629113959 x 8559751419 x 1205311659 x 7663511829 x 27612112989 x 3888120429 x 24721
Negative:
-1 x -505025309-31 x -16291139-59 x -8559751-419 x -1205311-659 x -766351-1829 x -276121-12989 x -38881-20429 x -24721
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 505,025,309, 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 | 505,025,309 | |
| -1 | -505,025,309 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 505,025,309.
Example:
1 x 505,025,309 = 505,025,309
and
-1 x -505,025,309 = 505,025,309
Notice both answers equal 505,025,309
With that explanation out of the way, let's continue. Next, we take the number 505,025,309 and divide it by 2:
505,025,309 ÷ 2 = 252,512,654.5
If the quotient is a whole number, then 2 and 252,512,654.5 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 | 505,025,309 | |
| -1 | -505,025,309 |
Now, we try dividing 505,025,309 by 3:
505,025,309 ÷ 3 = 168,341,769.6667
If the quotient is a whole number, then 3 and 168,341,769.6667 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 | 505,025,309 | |
| -1 | -505,025,309 |
Let's try dividing by 4:
505,025,309 ÷ 4 = 126,256,327.25
If the quotient is a whole number, then 4 and 126,256,327.25 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 | 505,025,309 | |
| -1 | 505,025,309 |
If you did it right, you will end up with this table:
| 1 | 31 | 59 | 419 | 659 | 1,829 | 12,989 | 20,429 | 24,721 | 38,881 | 276,121 | 766,351 | 1,205,311 | 8,559,751 | 16,291,139 | 505,025,309 |
| -1 | -31 | -59 | -419 | -659 | -1,829 | -12,989 | -20,429 | -24,721 | -38,881 | -276,121 | -766,351 | -1,205,311 | -8,559,751 | -16,291,139 | -505,025,309 |
Here are some more numbers to try:
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