A:
Positive:
1 x 1014211255 x 2028422513 x 780162525 x 405684565 x 1560325125 x 811369169 x 600125325 x 312065845 x 1200251625 x 624134225 x 240054801 x 21125
Negative:
-1 x -101421125-5 x -20284225-13 x -7801625-25 x -4056845-65 x -1560325-125 x -811369-169 x -600125-325 x -312065-845 x -120025-1625 x -62413-4225 x -24005-4801 x -21125
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 101,421,125, 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 | 101,421,125 | |
| -1 | -101,421,125 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 101,421,125.
Example:
1 x 101,421,125 = 101,421,125
and
-1 x -101,421,125 = 101,421,125
Notice both answers equal 101,421,125
With that explanation out of the way, let's continue. Next, we take the number 101,421,125 and divide it by 2:
101,421,125 ÷ 2 = 50,710,562.5
If the quotient is a whole number, then 2 and 50,710,562.5 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 | 101,421,125 | |
| -1 | -101,421,125 |
Now, we try dividing 101,421,125 by 3:
101,421,125 ÷ 3 = 33,807,041.6667
If the quotient is a whole number, then 3 and 33,807,041.6667 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 | 101,421,125 | |
| -1 | -101,421,125 |
Let's try dividing by 4:
101,421,125 ÷ 4 = 25,355,281.25
If the quotient is a whole number, then 4 and 25,355,281.25 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 | 101,421,125 | |
| -1 | 101,421,125 |
If you did it right, you will end up with this table:
| 1 | 5 | 13 | 25 | 65 | 125 | 169 | 325 | 845 | 1,625 | 4,225 | 4,801 | 21,125 | 24,005 | 62,413 | 120,025 | 312,065 | 600,125 | 811,369 | 1,560,325 | 4,056,845 | 7,801,625 | 20,284,225 | 101,421,125 |
| -1 | -5 | -13 | -25 | -65 | -125 | -169 | -325 | -845 | -1,625 | -4,225 | -4,801 | -21,125 | -24,005 | -62,413 | -120,025 | -312,065 | -600,125 | -811,369 | -1,560,325 | -4,056,845 | -7,801,625 | -20,284,225 | -101,421,125 |
Here are some more numbers to try:
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