A:
Positive:
1 x 2431400097 x 3473428749 x 4962041307 x 791987343 x 7088632149 x 1131412309 x 10530115043 x 16163
Negative:
-1 x -243140009-7 x -34734287-49 x -4962041-307 x -791987-343 x -708863-2149 x -113141-2309 x -105301-15043 x -16163
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 243,140,009, 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 | 243,140,009 | |
| -1 | -243,140,009 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 243,140,009.
Example:
1 x 243,140,009 = 243,140,009
and
-1 x -243,140,009 = 243,140,009
Notice both answers equal 243,140,009
With that explanation out of the way, let's continue. Next, we take the number 243,140,009 and divide it by 2:
243,140,009 ÷ 2 = 121,570,004.5
If the quotient is a whole number, then 2 and 121,570,004.5 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 | 243,140,009 | |
| -1 | -243,140,009 |
Now, we try dividing 243,140,009 by 3:
243,140,009 ÷ 3 = 81,046,669.6667
If the quotient is a whole number, then 3 and 81,046,669.6667 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 | 243,140,009 | |
| -1 | -243,140,009 |
Let's try dividing by 4:
243,140,009 ÷ 4 = 60,785,002.25
If the quotient is a whole number, then 4 and 60,785,002.25 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 | 243,140,009 | |
| -1 | 243,140,009 |
If you did it right, you will end up with this table:
| 1 | 7 | 49 | 307 | 343 | 2,149 | 2,309 | 15,043 | 16,163 | 105,301 | 113,141 | 708,863 | 791,987 | 4,962,041 | 34,734,287 | 243,140,009 |
| -1 | -7 | -49 | -307 | -343 | -2,149 | -2,309 | -15,043 | -16,163 | -105,301 | -113,141 | -708,863 | -791,987 | -4,962,041 | -34,734,287 | -243,140,009 |
Here are some more numbers to try:
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