A:
Positive:
1 x 2173159313 x 167166117 x 1278329107 x 203099221 x 98333919 x 236471391 x 156231819 x 11947
Negative:
-1 x -21731593-13 x -1671661-17 x -1278329-107 x -203099-221 x -98333-919 x -23647-1391 x -15623-1819 x -11947
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 21,731,593, 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 | 21,731,593 | |
| -1 | -21,731,593 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 21,731,593.
Example:
1 x 21,731,593 = 21,731,593
and
-1 x -21,731,593 = 21,731,593
Notice both answers equal 21,731,593
With that explanation out of the way, let's continue. Next, we take the number 21,731,593 and divide it by 2:
21,731,593 ÷ 2 = 10,865,796.5
If the quotient is a whole number, then 2 and 10,865,796.5 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 | 21,731,593 | |
| -1 | -21,731,593 |
Now, we try dividing 21,731,593 by 3:
21,731,593 ÷ 3 = 7,243,864.3333
If the quotient is a whole number, then 3 and 7,243,864.3333 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 | 21,731,593 | |
| -1 | -21,731,593 |
Let's try dividing by 4:
21,731,593 ÷ 4 = 5,432,898.25
If the quotient is a whole number, then 4 and 5,432,898.25 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 | 21,731,593 | |
| -1 | 21,731,593 |
If you did it right, you will end up with this table:
| 1 | 13 | 17 | 107 | 221 | 919 | 1,391 | 1,819 | 11,947 | 15,623 | 23,647 | 98,333 | 203,099 | 1,278,329 | 1,671,661 | 21,731,593 |
| -1 | -13 | -17 | -107 | -221 | -919 | -1,391 | -1,819 | -11,947 | -15,623 | -23,647 | -98,333 | -203,099 | -1,278,329 | -1,671,661 | -21,731,593 |
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