A:
Positive:
1 x 41302215717 x 2429542137 x 11162761271 x 1524067629 x 6566332423 x 1704594607 x 8965110027 x 41191
Negative:
-1 x -413022157-17 x -24295421-37 x -11162761-271 x -1524067-629 x -656633-2423 x -170459-4607 x -89651-10027 x -41191
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 413,022,157, 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 | 413,022,157 | |
| -1 | -413,022,157 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 413,022,157.
Example:
1 x 413,022,157 = 413,022,157
and
-1 x -413,022,157 = 413,022,157
Notice both answers equal 413,022,157
With that explanation out of the way, let's continue. Next, we take the number 413,022,157 and divide it by 2:
413,022,157 ÷ 2 = 206,511,078.5
If the quotient is a whole number, then 2 and 206,511,078.5 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 | 413,022,157 | |
| -1 | -413,022,157 |
Now, we try dividing 413,022,157 by 3:
413,022,157 ÷ 3 = 137,674,052.3333
If the quotient is a whole number, then 3 and 137,674,052.3333 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 | 413,022,157 | |
| -1 | -413,022,157 |
Let's try dividing by 4:
413,022,157 ÷ 4 = 103,255,539.25
If the quotient is a whole number, then 4 and 103,255,539.25 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 | 413,022,157 | |
| -1 | 413,022,157 |
If you did it right, you will end up with this table:
| 1 | 17 | 37 | 271 | 629 | 2,423 | 4,607 | 10,027 | 41,191 | 89,651 | 170,459 | 656,633 | 1,524,067 | 11,162,761 | 24,295,421 | 413,022,157 |
| -1 | -17 | -37 | -271 | -629 | -2,423 | -4,607 | -10,027 | -41,191 | -89,651 | -170,459 | -656,633 | -1,524,067 | -11,162,761 | -24,295,421 | -413,022,157 |
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