A:
Positive:
1 x 5056360197 x 72233717191 x 2647309509 x 993391743 x 6805331337 x 3781873563 x 1419135201 x 97219
Negative:
-1 x -505636019-7 x -72233717-191 x -2647309-509 x -993391-743 x -680533-1337 x -378187-3563 x -141913-5201 x -97219
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 505,636,019, 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 | 505,636,019 | |
| -1 | -505,636,019 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 505,636,019.
Example:
1 x 505,636,019 = 505,636,019
and
-1 x -505,636,019 = 505,636,019
Notice both answers equal 505,636,019
With that explanation out of the way, let's continue. Next, we take the number 505,636,019 and divide it by 2:
505,636,019 ÷ 2 = 252,818,009.5
If the quotient is a whole number, then 2 and 252,818,009.5 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 | 505,636,019 | |
| -1 | -505,636,019 |
Now, we try dividing 505,636,019 by 3:
505,636,019 ÷ 3 = 168,545,339.6667
If the quotient is a whole number, then 3 and 168,545,339.6667 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 | 505,636,019 | |
| -1 | -505,636,019 |
Let's try dividing by 4:
505,636,019 ÷ 4 = 126,409,004.75
If the quotient is a whole number, then 4 and 126,409,004.75 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 | 505,636,019 | |
| -1 | 505,636,019 |
If you did it right, you will end up with this table:
| 1 | 7 | 191 | 509 | 743 | 1,337 | 3,563 | 5,201 | 97,219 | 141,913 | 378,187 | 680,533 | 993,391 | 2,647,309 | 72,233,717 | 505,636,019 |
| -1 | -7 | -191 | -509 | -743 | -1,337 | -3,563 | -5,201 | -97,219 | -141,913 | -378,187 | -680,533 | -993,391 | -2,647,309 | -72,233,717 | -505,636,019 |
Here are some more numbers to try:
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