A:
Positive:
1 x 2423514055 x 4847028117 x 1425596529 x 835694585 x 2851193145 x 1671389493 x 4915852465 x 98317
Negative:
-1 x -242351405-5 x -48470281-17 x -14255965-29 x -8356945-85 x -2851193-145 x -1671389-493 x -491585-2465 x -98317
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 242,351,405, 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 | 242,351,405 | |
| -1 | -242,351,405 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 242,351,405.
Example:
1 x 242,351,405 = 242,351,405
and
-1 x -242,351,405 = 242,351,405
Notice both answers equal 242,351,405
With that explanation out of the way, let's continue. Next, we take the number 242,351,405 and divide it by 2:
242,351,405 ÷ 2 = 121,175,702.5
If the quotient is a whole number, then 2 and 121,175,702.5 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 | 242,351,405 | |
| -1 | -242,351,405 |
Now, we try dividing 242,351,405 by 3:
242,351,405 ÷ 3 = 80,783,801.6667
If the quotient is a whole number, then 3 and 80,783,801.6667 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 | 242,351,405 | |
| -1 | -242,351,405 |
Let's try dividing by 4:
242,351,405 ÷ 4 = 60,587,851.25
If the quotient is a whole number, then 4 and 60,587,851.25 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 | 242,351,405 | |
| -1 | 242,351,405 |
If you did it right, you will end up with this table:
| 1 | 5 | 17 | 29 | 85 | 145 | 493 | 2,465 | 98,317 | 491,585 | 1,671,389 | 2,851,193 | 8,356,945 | 14,255,965 | 48,470,281 | 242,351,405 |
| -1 | -5 | -17 | -29 | -85 | -145 | -493 | -2,465 | -98,317 | -491,585 | -1,671,389 | -2,851,193 | -8,356,945 | -14,255,965 | -48,470,281 | -242,351,405 |
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