A:
Positive:
1 x 21152115717 x 1244242129 x 729383379 x 2677483493 x 4290491343 x 1574992291 x 923275431 x 38947
Negative:
-1 x -211521157-17 x -12442421-29 x -7293833-79 x -2677483-493 x -429049-1343 x -157499-2291 x -92327-5431 x -38947
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 211,521,157, 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 | 211,521,157 | |
| -1 | -211,521,157 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 211,521,157.
Example:
1 x 211,521,157 = 211,521,157
and
-1 x -211,521,157 = 211,521,157
Notice both answers equal 211,521,157
With that explanation out of the way, let's continue. Next, we take the number 211,521,157 and divide it by 2:
211,521,157 ÷ 2 = 105,760,578.5
If the quotient is a whole number, then 2 and 105,760,578.5 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 | 211,521,157 | |
| -1 | -211,521,157 |
Now, we try dividing 211,521,157 by 3:
211,521,157 ÷ 3 = 70,507,052.3333
If the quotient is a whole number, then 3 and 70,507,052.3333 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 | 211,521,157 | |
| -1 | -211,521,157 |
Let's try dividing by 4:
211,521,157 ÷ 4 = 52,880,289.25
If the quotient is a whole number, then 4 and 52,880,289.25 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 | 211,521,157 | |
| -1 | 211,521,157 |
If you did it right, you will end up with this table:
| 1 | 17 | 29 | 79 | 493 | 1,343 | 2,291 | 5,431 | 38,947 | 92,327 | 157,499 | 429,049 | 2,677,483 | 7,293,833 | 12,442,421 | 211,521,157 |
| -1 | -17 | -29 | -79 | -493 | -1,343 | -2,291 | -5,431 | -38,947 | -92,327 | -157,499 | -429,049 | -2,677,483 | -7,293,833 | -12,442,421 | -211,521,157 |
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