A:
Positive:
1 x 41532513113 x 3194808759 x 7039409157 x 2645383767 x 5414932041 x 2034913449 x 1204199263 x 44837
Negative:
-1 x -415325131-13 x -31948087-59 x -7039409-157 x -2645383-767 x -541493-2041 x -203491-3449 x -120419-9263 x -44837
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 415,325,131, 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 | 415,325,131 | |
| -1 | -415,325,131 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 415,325,131.
Example:
1 x 415,325,131 = 415,325,131
and
-1 x -415,325,131 = 415,325,131
Notice both answers equal 415,325,131
With that explanation out of the way, let's continue. Next, we take the number 415,325,131 and divide it by 2:
415,325,131 ÷ 2 = 207,662,565.5
If the quotient is a whole number, then 2 and 207,662,565.5 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 | 415,325,131 | |
| -1 | -415,325,131 |
Now, we try dividing 415,325,131 by 3:
415,325,131 ÷ 3 = 138,441,710.3333
If the quotient is a whole number, then 3 and 138,441,710.3333 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 | 415,325,131 | |
| -1 | -415,325,131 |
Let's try dividing by 4:
415,325,131 ÷ 4 = 103,831,282.75
If the quotient is a whole number, then 4 and 103,831,282.75 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 | 415,325,131 | |
| -1 | 415,325,131 |
If you did it right, you will end up with this table:
| 1 | 13 | 59 | 157 | 767 | 2,041 | 3,449 | 9,263 | 44,837 | 120,419 | 203,491 | 541,493 | 2,645,383 | 7,039,409 | 31,948,087 | 415,325,131 |
| -1 | -13 | -59 | -157 | -767 | -2,041 | -3,449 | -9,263 | -44,837 | -120,419 | -203,491 | -541,493 | -2,645,383 | -7,039,409 | -31,948,087 | -415,325,131 |
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