A:
Positive:
1 x 20421112317 x 1201241971 x 287621389 x 22945071207 x 1691891513 x 1349711901 x 1074236319 x 32317
Negative:
-1 x -204211123-17 x -12012419-71 x -2876213-89 x -2294507-1207 x -169189-1513 x -134971-1901 x -107423-6319 x -32317
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 204,211,123, 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 | 204,211,123 | |
| -1 | -204,211,123 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 204,211,123.
Example:
1 x 204,211,123 = 204,211,123
and
-1 x -204,211,123 = 204,211,123
Notice both answers equal 204,211,123
With that explanation out of the way, let's continue. Next, we take the number 204,211,123 and divide it by 2:
204,211,123 ÷ 2 = 102,105,561.5
If the quotient is a whole number, then 2 and 102,105,561.5 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 | 204,211,123 | |
| -1 | -204,211,123 |
Now, we try dividing 204,211,123 by 3:
204,211,123 ÷ 3 = 68,070,374.3333
If the quotient is a whole number, then 3 and 68,070,374.3333 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 | 204,211,123 | |
| -1 | -204,211,123 |
Let's try dividing by 4:
204,211,123 ÷ 4 = 51,052,780.75
If the quotient is a whole number, then 4 and 51,052,780.75 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 | 204,211,123 | |
| -1 | 204,211,123 |
If you did it right, you will end up with this table:
| 1 | 17 | 71 | 89 | 1,207 | 1,513 | 1,901 | 6,319 | 32,317 | 107,423 | 134,971 | 169,189 | 2,294,507 | 2,876,213 | 12,012,419 | 204,211,123 |
| -1 | -17 | -71 | -89 | -1,207 | -1,513 | -1,901 | -6,319 | -32,317 | -107,423 | -134,971 | -169,189 | -2,294,507 | -2,876,213 | -12,012,419 | -204,211,123 |
Here are some more numbers to try:
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