A:
Positive:
1 x 2011401255 x 4022802525 x 804560583 x 2423375125 x 1609121415 x 4846752075 x 9693510375 x 19387
Negative:
-1 x -201140125-5 x -40228025-25 x -8045605-83 x -2423375-125 x -1609121-415 x -484675-2075 x -96935-10375 x -19387
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 201,140,125, 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 | 201,140,125 | |
| -1 | -201,140,125 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 201,140,125.
Example:
1 x 201,140,125 = 201,140,125
and
-1 x -201,140,125 = 201,140,125
Notice both answers equal 201,140,125
With that explanation out of the way, let's continue. Next, we take the number 201,140,125 and divide it by 2:
201,140,125 ÷ 2 = 100,570,062.5
If the quotient is a whole number, then 2 and 100,570,062.5 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 | 201,140,125 | |
| -1 | -201,140,125 |
Now, we try dividing 201,140,125 by 3:
201,140,125 ÷ 3 = 67,046,708.3333
If the quotient is a whole number, then 3 and 67,046,708.3333 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 | 201,140,125 | |
| -1 | -201,140,125 |
Let's try dividing by 4:
201,140,125 ÷ 4 = 50,285,031.25
If the quotient is a whole number, then 4 and 50,285,031.25 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 | 201,140,125 | |
| -1 | 201,140,125 |
If you did it right, you will end up with this table:
| 1 | 5 | 25 | 83 | 125 | 415 | 2,075 | 10,375 | 19,387 | 96,935 | 484,675 | 1,609,121 | 2,423,375 | 8,045,605 | 40,228,025 | 201,140,125 |
| -1 | -5 | -25 | -83 | -125 | -415 | -2,075 | -10,375 | -19,387 | -96,935 | -484,675 | -1,609,121 | -2,423,375 | -8,045,605 | -40,228,025 | -201,140,125 |
Here are some more numbers to try:
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