A:
Positive:
1 x 2052506055 x 410501217 x 2932151517 x 1207356535 x 586430385 x 2414713119 x 1724795595 x 344959
Negative:
-1 x -205250605-5 x -41050121-7 x -29321515-17 x -12073565-35 x -5864303-85 x -2414713-119 x -1724795-595 x -344959
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 205,250,605, 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 | 205,250,605 | |
| -1 | -205,250,605 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 205,250,605.
Example:
1 x 205,250,605 = 205,250,605
and
-1 x -205,250,605 = 205,250,605
Notice both answers equal 205,250,605
With that explanation out of the way, let's continue. Next, we take the number 205,250,605 and divide it by 2:
205,250,605 ÷ 2 = 102,625,302.5
If the quotient is a whole number, then 2 and 102,625,302.5 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 | 205,250,605 | |
| -1 | -205,250,605 |
Now, we try dividing 205,250,605 by 3:
205,250,605 ÷ 3 = 68,416,868.3333
If the quotient is a whole number, then 3 and 68,416,868.3333 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 | 205,250,605 | |
| -1 | -205,250,605 |
Let's try dividing by 4:
205,250,605 ÷ 4 = 51,312,651.25
If the quotient is a whole number, then 4 and 51,312,651.25 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 | 205,250,605 | |
| -1 | 205,250,605 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 17 | 35 | 85 | 119 | 595 | 344,959 | 1,724,795 | 2,414,713 | 5,864,303 | 12,073,565 | 29,321,515 | 41,050,121 | 205,250,605 |
| -1 | -5 | -7 | -17 | -35 | -85 | -119 | -595 | -344,959 | -1,724,795 | -2,414,713 | -5,864,303 | -12,073,565 | -29,321,515 | -41,050,121 | -205,250,605 |
Here are some more numbers to try:
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