A:
Positive:
1 x 2102001255 x 4204002525 x 840800543 x 4888375125 x 1681601215 x 9776751075 x 1955355375 x 39107
Negative:
-1 x -210200125-5 x -42040025-25 x -8408005-43 x -4888375-125 x -1681601-215 x -977675-1075 x -195535-5375 x -39107
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 210,200,125, 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 | 210,200,125 | |
| -1 | -210,200,125 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 210,200,125.
Example:
1 x 210,200,125 = 210,200,125
and
-1 x -210,200,125 = 210,200,125
Notice both answers equal 210,200,125
With that explanation out of the way, let's continue. Next, we take the number 210,200,125 and divide it by 2:
210,200,125 ÷ 2 = 105,100,062.5
If the quotient is a whole number, then 2 and 105,100,062.5 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 | 210,200,125 | |
| -1 | -210,200,125 |
Now, we try dividing 210,200,125 by 3:
210,200,125 ÷ 3 = 70,066,708.3333
If the quotient is a whole number, then 3 and 70,066,708.3333 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 | 210,200,125 | |
| -1 | -210,200,125 |
Let's try dividing by 4:
210,200,125 ÷ 4 = 52,550,031.25
If the quotient is a whole number, then 4 and 52,550,031.25 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 | 210,200,125 | |
| -1 | 210,200,125 |
If you did it right, you will end up with this table:
| 1 | 5 | 25 | 43 | 125 | 215 | 1,075 | 5,375 | 39,107 | 195,535 | 977,675 | 1,681,601 | 4,888,375 | 8,408,005 | 42,040,025 | 210,200,125 |
| -1 | -5 | -25 | -43 | -125 | -215 | -1,075 | -5,375 | -39,107 | -195,535 | -977,675 | -1,681,601 | -4,888,375 | -8,408,005 | -42,040,025 | -210,200,125 |
Here are some more numbers to try:
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