A:
Positive:
1 x 21030421113 x 1617724741 x 5129371229 x 918359533 x 3945671723 x 1220572977 x 706439389 x 22399
Negative:
-1 x -210304211-13 x -16177247-41 x -5129371-229 x -918359-533 x -394567-1723 x -122057-2977 x -70643-9389 x -22399
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 210,304,211, 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 | 210,304,211 | |
| -1 | -210,304,211 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 210,304,211.
Example:
1 x 210,304,211 = 210,304,211
and
-1 x -210,304,211 = 210,304,211
Notice both answers equal 210,304,211
With that explanation out of the way, let's continue. Next, we take the number 210,304,211 and divide it by 2:
210,304,211 ÷ 2 = 105,152,105.5
If the quotient is a whole number, then 2 and 105,152,105.5 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 | 210,304,211 | |
| -1 | -210,304,211 |
Now, we try dividing 210,304,211 by 3:
210,304,211 ÷ 3 = 70,101,403.6667
If the quotient is a whole number, then 3 and 70,101,403.6667 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 | 210,304,211 | |
| -1 | -210,304,211 |
Let's try dividing by 4:
210,304,211 ÷ 4 = 52,576,052.75
If the quotient is a whole number, then 4 and 52,576,052.75 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 | 210,304,211 | |
| -1 | 210,304,211 |
If you did it right, you will end up with this table:
| 1 | 13 | 41 | 229 | 533 | 1,723 | 2,977 | 9,389 | 22,399 | 70,643 | 122,057 | 394,567 | 918,359 | 5,129,371 | 16,177,247 | 210,304,211 |
| -1 | -13 | -41 | -229 | -533 | -1,723 | -2,977 | -9,389 | -22,399 | -70,643 | -122,057 | -394,567 | -918,359 | -5,129,371 | -16,177,247 | -210,304,211 |
Here are some more numbers to try:
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