A:
Positive:
1 x 7243127577 x 10347325123 x 3149185949 x 14781893161 x 4498837343 x 21116991127 x 6426917889 x 91813
Negative:
-1 x -724312757-7 x -103473251-23 x -31491859-49 x -14781893-161 x -4498837-343 x -2111699-1127 x -642691-7889 x -91813
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 724,312,757, 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 | 724,312,757 | |
| -1 | -724,312,757 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 724,312,757.
Example:
1 x 724,312,757 = 724,312,757
and
-1 x -724,312,757 = 724,312,757
Notice both answers equal 724,312,757
With that explanation out of the way, let's continue. Next, we take the number 724,312,757 and divide it by 2:
724,312,757 ÷ 2 = 362,156,378.5
If the quotient is a whole number, then 2 and 362,156,378.5 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 | 724,312,757 | |
| -1 | -724,312,757 |
Now, we try dividing 724,312,757 by 3:
724,312,757 ÷ 3 = 241,437,585.6667
If the quotient is a whole number, then 3 and 241,437,585.6667 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 | 724,312,757 | |
| -1 | -724,312,757 |
Let's try dividing by 4:
724,312,757 ÷ 4 = 181,078,189.25
If the quotient is a whole number, then 4 and 181,078,189.25 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 | 724,312,757 | |
| -1 | 724,312,757 |
If you did it right, you will end up with this table:
| 1 | 7 | 23 | 49 | 161 | 343 | 1,127 | 7,889 | 91,813 | 642,691 | 2,111,699 | 4,498,837 | 14,781,893 | 31,491,859 | 103,473,251 | 724,312,757 |
| -1 | -7 | -23 | -49 | -161 | -343 | -1,127 | -7,889 | -91,813 | -642,691 | -2,111,699 | -4,498,837 | -14,781,893 | -31,491,859 | -103,473,251 | -724,312,757 |
Here are some more numbers to try:
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