A:
Positive:
1 x 2822713455 x 5645426979 x 3573055233 x 1211465395 x 7146111165 x 2422933067 x 9203515335 x 18407
Negative:
-1 x -282271345-5 x -56454269-79 x -3573055-233 x -1211465-395 x -714611-1165 x -242293-3067 x -92035-15335 x -18407
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 282,271,345, 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 | 282,271,345 | |
| -1 | -282,271,345 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 282,271,345.
Example:
1 x 282,271,345 = 282,271,345
and
-1 x -282,271,345 = 282,271,345
Notice both answers equal 282,271,345
With that explanation out of the way, let's continue. Next, we take the number 282,271,345 and divide it by 2:
282,271,345 ÷ 2 = 141,135,672.5
If the quotient is a whole number, then 2 and 141,135,672.5 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 | 282,271,345 | |
| -1 | -282,271,345 |
Now, we try dividing 282,271,345 by 3:
282,271,345 ÷ 3 = 94,090,448.3333
If the quotient is a whole number, then 3 and 94,090,448.3333 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 | 282,271,345 | |
| -1 | -282,271,345 |
Let's try dividing by 4:
282,271,345 ÷ 4 = 70,567,836.25
If the quotient is a whole number, then 4 and 70,567,836.25 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 | 282,271,345 | |
| -1 | 282,271,345 |
If you did it right, you will end up with this table:
| 1 | 5 | 79 | 233 | 395 | 1,165 | 3,067 | 15,335 | 18,407 | 92,035 | 242,293 | 714,611 | 1,211,465 | 3,573,055 | 56,454,269 | 282,271,345 |
| -1 | -5 | -79 | -233 | -395 | -1,165 | -3,067 | -15,335 | -18,407 | -92,035 | -242,293 | -714,611 | -1,211,465 | -3,573,055 | -56,454,269 | -282,271,345 |
Here are some more numbers to try:
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