A:
Positive:
1 x 410244177 x 586063117 x 241320149 x 837233119 x 344743289 x 141953833 x 492492023 x 202792897 x 14161
Negative:
-1 x -41024417-7 x -5860631-17 x -2413201-49 x -837233-119 x -344743-289 x -141953-833 x -49249-2023 x -20279-2897 x -14161
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 41,024,417, 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 | 41,024,417 | |
| -1 | -41,024,417 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 41,024,417.
Example:
1 x 41,024,417 = 41,024,417
and
-1 x -41,024,417 = 41,024,417
Notice both answers equal 41,024,417
With that explanation out of the way, let's continue. Next, we take the number 41,024,417 and divide it by 2:
41,024,417 ÷ 2 = 20,512,208.5
If the quotient is a whole number, then 2 and 20,512,208.5 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 | 41,024,417 | |
| -1 | -41,024,417 |
Now, we try dividing 41,024,417 by 3:
41,024,417 ÷ 3 = 13,674,805.6667
If the quotient is a whole number, then 3 and 13,674,805.6667 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 | 41,024,417 | |
| -1 | -41,024,417 |
Let's try dividing by 4:
41,024,417 ÷ 4 = 10,256,104.25
If the quotient is a whole number, then 4 and 10,256,104.25 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 | 41,024,417 | |
| -1 | 41,024,417 |
If you did it right, you will end up with this table:
| 1 | 7 | 17 | 49 | 119 | 289 | 833 | 2,023 | 2,897 | 14,161 | 20,279 | 49,249 | 141,953 | 344,743 | 837,233 | 2,413,201 | 5,860,631 | 41,024,417 |
| -1 | -7 | -17 | -49 | -119 | -289 | -833 | -2,023 | -2,897 | -14,161 | -20,279 | -49,249 | -141,953 | -344,743 | -837,233 | -2,413,201 | -5,860,631 | -41,024,417 |
Here are some more numbers to try:
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