A:
Positive:
1 x 4002032055 x 8004064117 x 2354136585 x 4708273157 x 2549065785 x 5098132669 x 14994513345 x 29989
Negative:
-1 x -400203205-5 x -80040641-17 x -23541365-85 x -4708273-157 x -2549065-785 x -509813-2669 x -149945-13345 x -29989
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 400,203,205, 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 | 400,203,205 | |
| -1 | -400,203,205 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 400,203,205.
Example:
1 x 400,203,205 = 400,203,205
and
-1 x -400,203,205 = 400,203,205
Notice both answers equal 400,203,205
With that explanation out of the way, let's continue. Next, we take the number 400,203,205 and divide it by 2:
400,203,205 ÷ 2 = 200,101,602.5
If the quotient is a whole number, then 2 and 200,101,602.5 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 | 400,203,205 | |
| -1 | -400,203,205 |
Now, we try dividing 400,203,205 by 3:
400,203,205 ÷ 3 = 133,401,068.3333
If the quotient is a whole number, then 3 and 133,401,068.3333 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 | 400,203,205 | |
| -1 | -400,203,205 |
Let's try dividing by 4:
400,203,205 ÷ 4 = 100,050,801.25
If the quotient is a whole number, then 4 and 100,050,801.25 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 | 400,203,205 | |
| -1 | 400,203,205 |
If you did it right, you will end up with this table:
| 1 | 5 | 17 | 85 | 157 | 785 | 2,669 | 13,345 | 29,989 | 149,945 | 509,813 | 2,549,065 | 4,708,273 | 23,541,365 | 80,040,641 | 400,203,205 |
| -1 | -5 | -17 | -85 | -157 | -785 | -2,669 | -13,345 | -29,989 | -149,945 | -509,813 | -2,549,065 | -4,708,273 | -23,541,365 | -80,040,641 | -400,203,205 |
Here are some more numbers to try:
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