A:
Positive:
1 x 21120565713 x 1624658937 x 5708261481 x 439097577 x 366041761 x 2775377501 x 281579893 x 21349
Negative:
-1 x -211205657-13 x -16246589-37 x -5708261-481 x -439097-577 x -366041-761 x -277537-7501 x -28157-9893 x -21349
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 211,205,657, 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 | 211,205,657 | |
| -1 | -211,205,657 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 211,205,657.
Example:
1 x 211,205,657 = 211,205,657
and
-1 x -211,205,657 = 211,205,657
Notice both answers equal 211,205,657
With that explanation out of the way, let's continue. Next, we take the number 211,205,657 and divide it by 2:
211,205,657 ÷ 2 = 105,602,828.5
If the quotient is a whole number, then 2 and 105,602,828.5 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 | 211,205,657 | |
| -1 | -211,205,657 |
Now, we try dividing 211,205,657 by 3:
211,205,657 ÷ 3 = 70,401,885.6667
If the quotient is a whole number, then 3 and 70,401,885.6667 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 | 211,205,657 | |
| -1 | -211,205,657 |
Let's try dividing by 4:
211,205,657 ÷ 4 = 52,801,414.25
If the quotient is a whole number, then 4 and 52,801,414.25 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 | 211,205,657 | |
| -1 | 211,205,657 |
If you did it right, you will end up with this table:
| 1 | 13 | 37 | 481 | 577 | 761 | 7,501 | 9,893 | 21,349 | 28,157 | 277,537 | 366,041 | 439,097 | 5,708,261 | 16,246,589 | 211,205,657 |
| -1 | -13 | -37 | -481 | -577 | -761 | -7,501 | -9,893 | -21,349 | -28,157 | -277,537 | -366,041 | -439,097 | -5,708,261 | -16,246,589 | -211,205,657 |
Here are some more numbers to try:
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