A:
Positive:
1 x 2130042355 x 4260084747 x 4532005235 x 906401241 x 8838351205 x 1767673761 x 5663511327 x 18805
Negative:
-1 x -213004235-5 x -42600847-47 x -4532005-235 x -906401-241 x -883835-1205 x -176767-3761 x -56635-11327 x -18805
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 213,004,235, 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 | 213,004,235 | |
| -1 | -213,004,235 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 213,004,235.
Example:
1 x 213,004,235 = 213,004,235
and
-1 x -213,004,235 = 213,004,235
Notice both answers equal 213,004,235
With that explanation out of the way, let's continue. Next, we take the number 213,004,235 and divide it by 2:
213,004,235 ÷ 2 = 106,502,117.5
If the quotient is a whole number, then 2 and 106,502,117.5 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 | 213,004,235 | |
| -1 | -213,004,235 |
Now, we try dividing 213,004,235 by 3:
213,004,235 ÷ 3 = 71,001,411.6667
If the quotient is a whole number, then 3 and 71,001,411.6667 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 | 213,004,235 | |
| -1 | -213,004,235 |
Let's try dividing by 4:
213,004,235 ÷ 4 = 53,251,058.75
If the quotient is a whole number, then 4 and 53,251,058.75 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 | 213,004,235 | |
| -1 | 213,004,235 |
If you did it right, you will end up with this table:
| 1 | 5 | 47 | 235 | 241 | 1,205 | 3,761 | 11,327 | 18,805 | 56,635 | 176,767 | 883,835 | 906,401 | 4,532,005 | 42,600,847 | 213,004,235 |
| -1 | -5 | -47 | -235 | -241 | -1,205 | -3,761 | -11,327 | -18,805 | -56,635 | -176,767 | -883,835 | -906,401 | -4,532,005 | -42,600,847 | -213,004,235 |
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