A:
Positive:
1 x 2112041355 x 4224082747 x 4493705235 x 898741761 x 2775351181 x 1788353805 x 555075905 x 35767
Negative:
-1 x -211204135-5 x -42240827-47 x -4493705-235 x -898741-761 x -277535-1181 x -178835-3805 x -55507-5905 x -35767
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 211,204,135, 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 | 211,204,135 | |
| -1 | -211,204,135 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 211,204,135.
Example:
1 x 211,204,135 = 211,204,135
and
-1 x -211,204,135 = 211,204,135
Notice both answers equal 211,204,135
With that explanation out of the way, let's continue. Next, we take the number 211,204,135 and divide it by 2:
211,204,135 ÷ 2 = 105,602,067.5
If the quotient is a whole number, then 2 and 105,602,067.5 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 | 211,204,135 | |
| -1 | -211,204,135 |
Now, we try dividing 211,204,135 by 3:
211,204,135 ÷ 3 = 70,401,378.3333
If the quotient is a whole number, then 3 and 70,401,378.3333 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 | 211,204,135 | |
| -1 | -211,204,135 |
Let's try dividing by 4:
211,204,135 ÷ 4 = 52,801,033.75
If the quotient is a whole number, then 4 and 52,801,033.75 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 | 211,204,135 | |
| -1 | 211,204,135 |
If you did it right, you will end up with this table:
| 1 | 5 | 47 | 235 | 761 | 1,181 | 3,805 | 5,905 | 35,767 | 55,507 | 178,835 | 277,535 | 898,741 | 4,493,705 | 42,240,827 | 211,204,135 |
| -1 | -5 | -47 | -235 | -761 | -1,181 | -3,805 | -5,905 | -35,767 | -55,507 | -178,835 | -277,535 | -898,741 | -4,493,705 | -42,240,827 | -211,204,135 |
Here are some more numbers to try:
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