A:
Positive:
1 x 2125099729 x 73279341 x 51831761 x 348377293 x 725291189 x 178731769 x 120132501 x 8497
Negative:
-1 x -21250997-29 x -732793-41 x -518317-61 x -348377-293 x -72529-1189 x -17873-1769 x -12013-2501 x -8497
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 21,250,997, 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 | 21,250,997 | |
| -1 | -21,250,997 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 21,250,997.
Example:
1 x 21,250,997 = 21,250,997
and
-1 x -21,250,997 = 21,250,997
Notice both answers equal 21,250,997
With that explanation out of the way, let's continue. Next, we take the number 21,250,997 and divide it by 2:
21,250,997 ÷ 2 = 10,625,498.5
If the quotient is a whole number, then 2 and 10,625,498.5 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 | 21,250,997 | |
| -1 | -21,250,997 |
Now, we try dividing 21,250,997 by 3:
21,250,997 ÷ 3 = 7,083,665.6667
If the quotient is a whole number, then 3 and 7,083,665.6667 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 | 21,250,997 | |
| -1 | -21,250,997 |
Let's try dividing by 4:
21,250,997 ÷ 4 = 5,312,749.25
If the quotient is a whole number, then 4 and 5,312,749.25 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 | 21,250,997 | |
| -1 | 21,250,997 |
If you did it right, you will end up with this table:
| 1 | 29 | 41 | 61 | 293 | 1,189 | 1,769 | 2,501 | 8,497 | 12,013 | 17,873 | 72,529 | 348,377 | 518,317 | 732,793 | 21,250,997 |
| -1 | -29 | -41 | -61 | -293 | -1,189 | -1,769 | -2,501 | -8,497 | -12,013 | -17,873 | -72,529 | -348,377 | -518,317 | -732,793 | -21,250,997 |
Here are some more numbers to try:
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