A:
Positive:
1 x 24031412911 x 2184673979 x 3041951131 x 1834459869 x 2765411441 x 1667692111 x 11383910349 x 23221
Negative:
-1 x -240314129-11 x -21846739-79 x -3041951-131 x -1834459-869 x -276541-1441 x -166769-2111 x -113839-10349 x -23221
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 240,314,129, 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 | 240,314,129 | |
| -1 | -240,314,129 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 240,314,129.
Example:
1 x 240,314,129 = 240,314,129
and
-1 x -240,314,129 = 240,314,129
Notice both answers equal 240,314,129
With that explanation out of the way, let's continue. Next, we take the number 240,314,129 and divide it by 2:
240,314,129 ÷ 2 = 120,157,064.5
If the quotient is a whole number, then 2 and 120,157,064.5 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 | 240,314,129 | |
| -1 | -240,314,129 |
Now, we try dividing 240,314,129 by 3:
240,314,129 ÷ 3 = 80,104,709.6667
If the quotient is a whole number, then 3 and 80,104,709.6667 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 | 240,314,129 | |
| -1 | -240,314,129 |
Let's try dividing by 4:
240,314,129 ÷ 4 = 60,078,532.25
If the quotient is a whole number, then 4 and 60,078,532.25 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 | 240,314,129 | |
| -1 | 240,314,129 |
If you did it right, you will end up with this table:
| 1 | 11 | 79 | 131 | 869 | 1,441 | 2,111 | 10,349 | 23,221 | 113,839 | 166,769 | 276,541 | 1,834,459 | 3,041,951 | 21,846,739 | 240,314,129 |
| -1 | -11 | -79 | -131 | -869 | -1,441 | -2,111 | -10,349 | -23,221 | -113,839 | -166,769 | -276,541 | -1,834,459 | -3,041,951 | -21,846,739 | -240,314,129 |
Here are some more numbers to try:
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