A:
Positive:
1 x 2031232217 x 2901760329 x 7004249101 x 2011121203 x 1000607707 x 2873032929 x 693499907 x 20503
Negative:
-1 x -203123221-7 x -29017603-29 x -7004249-101 x -2011121-203 x -1000607-707 x -287303-2929 x -69349-9907 x -20503
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 203,123,221, 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 | 203,123,221 | |
| -1 | -203,123,221 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 203,123,221.
Example:
1 x 203,123,221 = 203,123,221
and
-1 x -203,123,221 = 203,123,221
Notice both answers equal 203,123,221
With that explanation out of the way, let's continue. Next, we take the number 203,123,221 and divide it by 2:
203,123,221 ÷ 2 = 101,561,610.5
If the quotient is a whole number, then 2 and 101,561,610.5 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 | 203,123,221 | |
| -1 | -203,123,221 |
Now, we try dividing 203,123,221 by 3:
203,123,221 ÷ 3 = 67,707,740.3333
If the quotient is a whole number, then 3 and 67,707,740.3333 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 | 203,123,221 | |
| -1 | -203,123,221 |
Let's try dividing by 4:
203,123,221 ÷ 4 = 50,780,805.25
If the quotient is a whole number, then 4 and 50,780,805.25 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 | 203,123,221 | |
| -1 | 203,123,221 |
If you did it right, you will end up with this table:
| 1 | 7 | 29 | 101 | 203 | 707 | 2,929 | 9,907 | 20,503 | 69,349 | 287,303 | 1,000,607 | 2,011,121 | 7,004,249 | 29,017,603 | 203,123,221 |
| -1 | -7 | -29 | -101 | -203 | -707 | -2,929 | -9,907 | -20,503 | -69,349 | -287,303 | -1,000,607 | -2,011,121 | -7,004,249 | -29,017,603 | -203,123,221 |
Here are some more numbers to try:
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