A:
Positive:
1 x 5063763055 x 101275261127 x 3987215139 x 3642995635 x 797443695 x 7285995737 x 8826517653 x 28685
Negative:
-1 x -506376305-5 x -101275261-127 x -3987215-139 x -3642995-635 x -797443-695 x -728599-5737 x -88265-17653 x -28685
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 506,376,305, 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 | 506,376,305 | |
| -1 | -506,376,305 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 506,376,305.
Example:
1 x 506,376,305 = 506,376,305
and
-1 x -506,376,305 = 506,376,305
Notice both answers equal 506,376,305
With that explanation out of the way, let's continue. Next, we take the number 506,376,305 and divide it by 2:
506,376,305 ÷ 2 = 253,188,152.5
If the quotient is a whole number, then 2 and 253,188,152.5 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 | 506,376,305 | |
| -1 | -506,376,305 |
Now, we try dividing 506,376,305 by 3:
506,376,305 ÷ 3 = 168,792,101.6667
If the quotient is a whole number, then 3 and 168,792,101.6667 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 | 506,376,305 | |
| -1 | -506,376,305 |
Let's try dividing by 4:
506,376,305 ÷ 4 = 126,594,076.25
If the quotient is a whole number, then 4 and 126,594,076.25 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 | 506,376,305 | |
| -1 | 506,376,305 |
If you did it right, you will end up with this table:
| 1 | 5 | 127 | 139 | 635 | 695 | 5,737 | 17,653 | 28,685 | 88,265 | 728,599 | 797,443 | 3,642,995 | 3,987,215 | 101,275,261 | 506,376,305 |
| -1 | -5 | -127 | -139 | -635 | -695 | -5,737 | -17,653 | -28,685 | -88,265 | -728,599 | -797,443 | -3,642,995 | -3,987,215 | -101,275,261 | -506,376,305 |
Here are some more numbers to try:
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