A:
Positive:
1 x 20503000111 x 1863909131 x 6613871179 x 1145419341 x 6012611969 x 1041293359 x 610395549 x 36949
Negative:
-1 x -205030001-11 x -18639091-31 x -6613871-179 x -1145419-341 x -601261-1969 x -104129-3359 x -61039-5549 x -36949
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 205,030,001, 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 | 205,030,001 | |
| -1 | -205,030,001 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 205,030,001.
Example:
1 x 205,030,001 = 205,030,001
and
-1 x -205,030,001 = 205,030,001
Notice both answers equal 205,030,001
With that explanation out of the way, let's continue. Next, we take the number 205,030,001 and divide it by 2:
205,030,001 ÷ 2 = 102,515,000.5
If the quotient is a whole number, then 2 and 102,515,000.5 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 | 205,030,001 | |
| -1 | -205,030,001 |
Now, we try dividing 205,030,001 by 3:
205,030,001 ÷ 3 = 68,343,333.6667
If the quotient is a whole number, then 3 and 68,343,333.6667 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 | 205,030,001 | |
| -1 | -205,030,001 |
Let's try dividing by 4:
205,030,001 ÷ 4 = 51,257,500.25
If the quotient is a whole number, then 4 and 51,257,500.25 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 | 205,030,001 | |
| -1 | 205,030,001 |
If you did it right, you will end up with this table:
| 1 | 11 | 31 | 179 | 341 | 1,969 | 3,359 | 5,549 | 36,949 | 61,039 | 104,129 | 601,261 | 1,145,419 | 6,613,871 | 18,639,091 | 205,030,001 |
| -1 | -11 | -31 | -179 | -341 | -1,969 | -3,359 | -5,549 | -36,949 | -61,039 | -104,129 | -601,261 | -1,145,419 | -6,613,871 | -18,639,091 | -205,030,001 |
Here are some more numbers to try:
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