A:
Positive:
1 x 2404310097 x 3434728713 x 1849469331 x 775583991 x 2642099217 x 1107977403 x 5966032821 x 85229
Negative:
-1 x -240431009-7 x -34347287-13 x -18494693-31 x -7755839-91 x -2642099-217 x -1107977-403 x -596603-2821 x -85229
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 240,431,009, 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 | 240,431,009 | |
| -1 | -240,431,009 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 240,431,009.
Example:
1 x 240,431,009 = 240,431,009
and
-1 x -240,431,009 = 240,431,009
Notice both answers equal 240,431,009
With that explanation out of the way, let's continue. Next, we take the number 240,431,009 and divide it by 2:
240,431,009 ÷ 2 = 120,215,504.5
If the quotient is a whole number, then 2 and 120,215,504.5 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 | 240,431,009 | |
| -1 | -240,431,009 |
Now, we try dividing 240,431,009 by 3:
240,431,009 ÷ 3 = 80,143,669.6667
If the quotient is a whole number, then 3 and 80,143,669.6667 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 | 240,431,009 | |
| -1 | -240,431,009 |
Let's try dividing by 4:
240,431,009 ÷ 4 = 60,107,752.25
If the quotient is a whole number, then 4 and 60,107,752.25 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 | 240,431,009 | |
| -1 | 240,431,009 |
If you did it right, you will end up with this table:
| 1 | 7 | 13 | 31 | 91 | 217 | 403 | 2,821 | 85,229 | 596,603 | 1,107,977 | 2,642,099 | 7,755,839 | 18,494,693 | 34,347,287 | 240,431,009 |
| -1 | -7 | -13 | -31 | -91 | -217 | -403 | -2,821 | -85,229 | -596,603 | -1,107,977 | -2,642,099 | -7,755,839 | -18,494,693 | -34,347,287 | -240,431,009 |
Here are some more numbers to try:
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