A:
Positive:
1 x 4042101355 x 808420277 x 5774430535 x 115488612647 x 1527054363 x 9264513235 x 3054118529 x 21815
Negative:
-1 x -404210135-5 x -80842027-7 x -57744305-35 x -11548861-2647 x -152705-4363 x -92645-13235 x -30541-18529 x -21815
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 404,210,135, 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 | 404,210,135 | |
| -1 | -404,210,135 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 404,210,135.
Example:
1 x 404,210,135 = 404,210,135
and
-1 x -404,210,135 = 404,210,135
Notice both answers equal 404,210,135
With that explanation out of the way, let's continue. Next, we take the number 404,210,135 and divide it by 2:
404,210,135 ÷ 2 = 202,105,067.5
If the quotient is a whole number, then 2 and 202,105,067.5 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 | 404,210,135 | |
| -1 | -404,210,135 |
Now, we try dividing 404,210,135 by 3:
404,210,135 ÷ 3 = 134,736,711.6667
If the quotient is a whole number, then 3 and 134,736,711.6667 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 | 404,210,135 | |
| -1 | -404,210,135 |
Let's try dividing by 4:
404,210,135 ÷ 4 = 101,052,533.75
If the quotient is a whole number, then 4 and 101,052,533.75 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 | 404,210,135 | |
| -1 | 404,210,135 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 35 | 2,647 | 4,363 | 13,235 | 18,529 | 21,815 | 30,541 | 92,645 | 152,705 | 11,548,861 | 57,744,305 | 80,842,027 | 404,210,135 |
| -1 | -5 | -7 | -35 | -2,647 | -4,363 | -13,235 | -18,529 | -21,815 | -30,541 | -92,645 | -152,705 | -11,548,861 | -57,744,305 | -80,842,027 | -404,210,135 |
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