A:
Positive:
1 x 2821447097 x 4030638711 x 2564951977 x 3664217631 x 4471394417 x 638775807 x 485876941 x 40649
Negative:
-1 x -282144709-7 x -40306387-11 x -25649519-77 x -3664217-631 x -447139-4417 x -63877-5807 x -48587-6941 x -40649
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 282,144,709, 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 | 282,144,709 | |
| -1 | -282,144,709 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 282,144,709.
Example:
1 x 282,144,709 = 282,144,709
and
-1 x -282,144,709 = 282,144,709
Notice both answers equal 282,144,709
With that explanation out of the way, let's continue. Next, we take the number 282,144,709 and divide it by 2:
282,144,709 ÷ 2 = 141,072,354.5
If the quotient is a whole number, then 2 and 141,072,354.5 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 | 282,144,709 | |
| -1 | -282,144,709 |
Now, we try dividing 282,144,709 by 3:
282,144,709 ÷ 3 = 94,048,236.3333
If the quotient is a whole number, then 3 and 94,048,236.3333 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 | 282,144,709 | |
| -1 | -282,144,709 |
Let's try dividing by 4:
282,144,709 ÷ 4 = 70,536,177.25
If the quotient is a whole number, then 4 and 70,536,177.25 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 | 282,144,709 | |
| -1 | 282,144,709 |
If you did it right, you will end up with this table:
| 1 | 7 | 11 | 77 | 631 | 4,417 | 5,807 | 6,941 | 40,649 | 48,587 | 63,877 | 447,139 | 3,664,217 | 25,649,519 | 40,306,387 | 282,144,709 |
| -1 | -7 | -11 | -77 | -631 | -4,417 | -5,807 | -6,941 | -40,649 | -48,587 | -63,877 | -447,139 | -3,664,217 | -25,649,519 | -40,306,387 | -282,144,709 |
Here are some more numbers to try:
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