A:
Positive:
1 x 4000311355 x 800062277 x 5714730535 x 114294612909 x 1375153929 x 10181514545 x 2750319645 x 20363
Negative:
-1 x -400031135-5 x -80006227-7 x -57147305-35 x -11429461-2909 x -137515-3929 x -101815-14545 x -27503-19645 x -20363
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 400,031,135, 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 | 400,031,135 | |
| -1 | -400,031,135 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 400,031,135.
Example:
1 x 400,031,135 = 400,031,135
and
-1 x -400,031,135 = 400,031,135
Notice both answers equal 400,031,135
With that explanation out of the way, let's continue. Next, we take the number 400,031,135 and divide it by 2:
400,031,135 ÷ 2 = 200,015,567.5
If the quotient is a whole number, then 2 and 200,015,567.5 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 | 400,031,135 | |
| -1 | -400,031,135 |
Now, we try dividing 400,031,135 by 3:
400,031,135 ÷ 3 = 133,343,711.6667
If the quotient is a whole number, then 3 and 133,343,711.6667 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 | 400,031,135 | |
| -1 | -400,031,135 |
Let's try dividing by 4:
400,031,135 ÷ 4 = 100,007,783.75
If the quotient is a whole number, then 4 and 100,007,783.75 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 | 400,031,135 | |
| -1 | 400,031,135 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 35 | 2,909 | 3,929 | 14,545 | 19,645 | 20,363 | 27,503 | 101,815 | 137,515 | 11,429,461 | 57,147,305 | 80,006,227 | 400,031,135 |
| -1 | -5 | -7 | -35 | -2,909 | -3,929 | -14,545 | -19,645 | -20,363 | -27,503 | -101,815 | -137,515 | -11,429,461 | -57,147,305 | -80,006,227 | -400,031,135 |
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