A:
Positive:
1 x 191312055 x 382624117 x 112536585 x 225073173 x 110585865 x 221171301 x 147052941 x 6505
Negative:
-1 x -19131205-5 x -3826241-17 x -1125365-85 x -225073-173 x -110585-865 x -22117-1301 x -14705-2941 x -6505
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 19,131,205, 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 | 19,131,205 | |
| -1 | -19,131,205 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 19,131,205.
Example:
1 x 19,131,205 = 19,131,205
and
-1 x -19,131,205 = 19,131,205
Notice both answers equal 19,131,205
With that explanation out of the way, let's continue. Next, we take the number 19,131,205 and divide it by 2:
19,131,205 ÷ 2 = 9,565,602.5
If the quotient is a whole number, then 2 and 9,565,602.5 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 | 19,131,205 | |
| -1 | -19,131,205 |
Now, we try dividing 19,131,205 by 3:
19,131,205 ÷ 3 = 6,377,068.3333
If the quotient is a whole number, then 3 and 6,377,068.3333 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 | 19,131,205 | |
| -1 | -19,131,205 |
Let's try dividing by 4:
19,131,205 ÷ 4 = 4,782,801.25
If the quotient is a whole number, then 4 and 4,782,801.25 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 | 19,131,205 | |
| -1 | 19,131,205 |
If you did it right, you will end up with this table:
| 1 | 5 | 17 | 85 | 173 | 865 | 1,301 | 2,941 | 6,505 | 14,705 | 22,117 | 110,585 | 225,073 | 1,125,365 | 3,826,241 | 19,131,205 |
| -1 | -5 | -17 | -85 | -173 | -865 | -1,301 | -2,941 | -6,505 | -14,705 | -22,117 | -110,585 | -225,073 | -1,125,365 | -3,826,241 | -19,131,205 |
Here are some more numbers to try:
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