A:
Positive:
1 x 4041321055 x 8082642113 x 3108708565 x 6217417397 x 10179651985 x 2035935161 x 7830515661 x 25805
Negative:
-1 x -404132105-5 x -80826421-13 x -31087085-65 x -6217417-397 x -1017965-1985 x -203593-5161 x -78305-15661 x -25805
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 404,132,105, 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 | 404,132,105 | |
| -1 | -404,132,105 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 404,132,105.
Example:
1 x 404,132,105 = 404,132,105
and
-1 x -404,132,105 = 404,132,105
Notice both answers equal 404,132,105
With that explanation out of the way, let's continue. Next, we take the number 404,132,105 and divide it by 2:
404,132,105 ÷ 2 = 202,066,052.5
If the quotient is a whole number, then 2 and 202,066,052.5 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 | 404,132,105 | |
| -1 | -404,132,105 |
Now, we try dividing 404,132,105 by 3:
404,132,105 ÷ 3 = 134,710,701.6667
If the quotient is a whole number, then 3 and 134,710,701.6667 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 | 404,132,105 | |
| -1 | -404,132,105 |
Let's try dividing by 4:
404,132,105 ÷ 4 = 101,033,026.25
If the quotient is a whole number, then 4 and 101,033,026.25 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 | 404,132,105 | |
| -1 | 404,132,105 |
If you did it right, you will end up with this table:
| 1 | 5 | 13 | 65 | 397 | 1,985 | 5,161 | 15,661 | 25,805 | 78,305 | 203,593 | 1,017,965 | 6,217,417 | 31,087,085 | 80,826,421 | 404,132,105 |
| -1 | -5 | -13 | -65 | -397 | -1,985 | -5,161 | -15,661 | -25,805 | -78,305 | -203,593 | -1,017,965 | -6,217,417 | -31,087,085 | -80,826,421 | -404,132,105 |
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