A:
Positive:
1 x 41213233113 x 3170248723 x 1791879747 x 8768773299 x 1378369611 x 6745211081 x 38125114053 x 29327
Negative:
-1 x -412132331-13 x -31702487-23 x -17918797-47 x -8768773-299 x -1378369-611 x -674521-1081 x -381251-14053 x -29327
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 412,132,331, 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 | 412,132,331 | |
| -1 | -412,132,331 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 412,132,331.
Example:
1 x 412,132,331 = 412,132,331
and
-1 x -412,132,331 = 412,132,331
Notice both answers equal 412,132,331
With that explanation out of the way, let's continue. Next, we take the number 412,132,331 and divide it by 2:
412,132,331 ÷ 2 = 206,066,165.5
If the quotient is a whole number, then 2 and 206,066,165.5 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 | 412,132,331 | |
| -1 | -412,132,331 |
Now, we try dividing 412,132,331 by 3:
412,132,331 ÷ 3 = 137,377,443.6667
If the quotient is a whole number, then 3 and 137,377,443.6667 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 | 412,132,331 | |
| -1 | -412,132,331 |
Let's try dividing by 4:
412,132,331 ÷ 4 = 103,033,082.75
If the quotient is a whole number, then 4 and 103,033,082.75 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 | 412,132,331 | |
| -1 | 412,132,331 |
If you did it right, you will end up with this table:
| 1 | 13 | 23 | 47 | 299 | 611 | 1,081 | 14,053 | 29,327 | 381,251 | 674,521 | 1,378,369 | 8,768,773 | 17,918,797 | 31,702,487 | 412,132,331 |
| -1 | -13 | -23 | -47 | -299 | -611 | -1,081 | -14,053 | -29,327 | -381,251 | -674,521 | -1,378,369 | -8,768,773 | -17,918,797 | -31,702,487 | -412,132,331 |
Here are some more numbers to try:
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