A:
Positive:
1 x 4121251155 x 8242502343 x 9584305215 x 1916861443 x 9303052215 x 1860614327 x 9524519049 x 21635
Negative:
-1 x -412125115-5 x -82425023-43 x -9584305-215 x -1916861-443 x -930305-2215 x -186061-4327 x -95245-19049 x -21635
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 412,125,115, 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 | 412,125,115 | |
| -1 | -412,125,115 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 412,125,115.
Example:
1 x 412,125,115 = 412,125,115
and
-1 x -412,125,115 = 412,125,115
Notice both answers equal 412,125,115
With that explanation out of the way, let's continue. Next, we take the number 412,125,115 and divide it by 2:
412,125,115 ÷ 2 = 206,062,557.5
If the quotient is a whole number, then 2 and 206,062,557.5 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 | 412,125,115 | |
| -1 | -412,125,115 |
Now, we try dividing 412,125,115 by 3:
412,125,115 ÷ 3 = 137,375,038.3333
If the quotient is a whole number, then 3 and 137,375,038.3333 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 | 412,125,115 | |
| -1 | -412,125,115 |
Let's try dividing by 4:
412,125,115 ÷ 4 = 103,031,278.75
If the quotient is a whole number, then 4 and 103,031,278.75 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 | 412,125,115 | |
| -1 | 412,125,115 |
If you did it right, you will end up with this table:
| 1 | 5 | 43 | 215 | 443 | 2,215 | 4,327 | 19,049 | 21,635 | 95,245 | 186,061 | 930,305 | 1,916,861 | 9,584,305 | 82,425,023 | 412,125,115 |
| -1 | -5 | -43 | -215 | -443 | -2,215 | -4,327 | -19,049 | -21,635 | -95,245 | -186,061 | -930,305 | -1,916,861 | -9,584,305 | -82,425,023 | -412,125,115 |
Here are some more numbers to try:
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