A:
Positive:
1 x 2410230255 x 4820460517 x 1417782525 x 964092185 x 2835565317 x 760325425 x 5671131585 x 1520651789 x 1347255389 x 447257925 x 304138945 x 26945
Negative:
-1 x -241023025-5 x -48204605-17 x -14177825-25 x -9640921-85 x -2835565-317 x -760325-425 x -567113-1585 x -152065-1789 x -134725-5389 x -44725-7925 x -30413-8945 x -26945
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 241,023,025, 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 | 241,023,025 | |
| -1 | -241,023,025 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 241,023,025.
Example:
1 x 241,023,025 = 241,023,025
and
-1 x -241,023,025 = 241,023,025
Notice both answers equal 241,023,025
With that explanation out of the way, let's continue. Next, we take the number 241,023,025 and divide it by 2:
241,023,025 ÷ 2 = 120,511,512.5
If the quotient is a whole number, then 2 and 120,511,512.5 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 | 241,023,025 | |
| -1 | -241,023,025 |
Now, we try dividing 241,023,025 by 3:
241,023,025 ÷ 3 = 80,341,008.3333
If the quotient is a whole number, then 3 and 80,341,008.3333 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 | 241,023,025 | |
| -1 | -241,023,025 |
Let's try dividing by 4:
241,023,025 ÷ 4 = 60,255,756.25
If the quotient is a whole number, then 4 and 60,255,756.25 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 | 241,023,025 | |
| -1 | 241,023,025 |
If you did it right, you will end up with this table:
| 1 | 5 | 17 | 25 | 85 | 317 | 425 | 1,585 | 1,789 | 5,389 | 7,925 | 8,945 | 26,945 | 30,413 | 44,725 | 134,725 | 152,065 | 567,113 | 760,325 | 2,835,565 | 9,640,921 | 14,177,825 | 48,204,605 | 241,023,025 |
| -1 | -5 | -17 | -25 | -85 | -317 | -425 | -1,585 | -1,789 | -5,389 | -7,925 | -8,945 | -26,945 | -30,413 | -44,725 | -134,725 | -152,065 | -567,113 | -760,325 | -2,835,565 | -9,640,921 | -14,177,825 | -48,204,605 | -241,023,025 |
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