A:
Positive:
1 x 7164321297 x 10234744723 x 3114922361 x 11744789161 x 4449889427 x 16778271403 x 5106439821 x 72949
Negative:
-1 x -716432129-7 x -102347447-23 x -31149223-61 x -11744789-161 x -4449889-427 x -1677827-1403 x -510643-9821 x -72949
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 716,432,129, 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 | 716,432,129 | |
| -1 | -716,432,129 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 716,432,129.
Example:
1 x 716,432,129 = 716,432,129
and
-1 x -716,432,129 = 716,432,129
Notice both answers equal 716,432,129
With that explanation out of the way, let's continue. Next, we take the number 716,432,129 and divide it by 2:
716,432,129 ÷ 2 = 358,216,064.5
If the quotient is a whole number, then 2 and 358,216,064.5 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 | 716,432,129 | |
| -1 | -716,432,129 |
Now, we try dividing 716,432,129 by 3:
716,432,129 ÷ 3 = 238,810,709.6667
If the quotient is a whole number, then 3 and 238,810,709.6667 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 | 716,432,129 | |
| -1 | -716,432,129 |
Let's try dividing by 4:
716,432,129 ÷ 4 = 179,108,032.25
If the quotient is a whole number, then 4 and 179,108,032.25 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 | 716,432,129 | |
| -1 | 716,432,129 |
If you did it right, you will end up with this table:
| 1 | 7 | 23 | 61 | 161 | 427 | 1,403 | 9,821 | 72,949 | 510,643 | 1,677,827 | 4,449,889 | 11,744,789 | 31,149,223 | 102,347,447 | 716,432,129 |
| -1 | -7 | -23 | -61 | -161 | -427 | -1,403 | -9,821 | -72,949 | -510,643 | -1,677,827 | -4,449,889 | -11,744,789 | -31,149,223 | -102,347,447 | -716,432,129 |
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