A:
Positive:
1 x 723059155 x 1446118311 x 657326555 x 1314653191 x 378565955 x 757132101 x 344156883 x 10505
Negative:
-1 x -72305915-5 x -14461183-11 x -6573265-55 x -1314653-191 x -378565-955 x -75713-2101 x -34415-6883 x -10505
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 72,305,915, 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 | 72,305,915 | |
| -1 | -72,305,915 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 72,305,915.
Example:
1 x 72,305,915 = 72,305,915
and
-1 x -72,305,915 = 72,305,915
Notice both answers equal 72,305,915
With that explanation out of the way, let's continue. Next, we take the number 72,305,915 and divide it by 2:
72,305,915 ÷ 2 = 36,152,957.5
If the quotient is a whole number, then 2 and 36,152,957.5 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 | 72,305,915 | |
| -1 | -72,305,915 |
Now, we try dividing 72,305,915 by 3:
72,305,915 ÷ 3 = 24,101,971.6667
If the quotient is a whole number, then 3 and 24,101,971.6667 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 | 72,305,915 | |
| -1 | -72,305,915 |
Let's try dividing by 4:
72,305,915 ÷ 4 = 18,076,478.75
If the quotient is a whole number, then 4 and 18,076,478.75 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 | 72,305,915 | |
| -1 | 72,305,915 |
If you did it right, you will end up with this table:
| 1 | 5 | 11 | 55 | 191 | 955 | 2,101 | 6,883 | 10,505 | 34,415 | 75,713 | 378,565 | 1,314,653 | 6,573,265 | 14,461,183 | 72,305,915 |
| -1 | -5 | -11 | -55 | -191 | -955 | -2,101 | -6,883 | -10,505 | -34,415 | -75,713 | -378,565 | -1,314,653 | -6,573,265 | -14,461,183 | -72,305,915 |
Here are some more numbers to try:
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