A:
Positive:
1 x 7278750055 x 14557500111 x 6617045513 x 5599038555 x 1323409165 x 11198077143 x 5090035715 x 1018007
Negative:
-1 x -727875005-5 x -145575001-11 x -66170455-13 x -55990385-55 x -13234091-65 x -11198077-143 x -5090035-715 x -1018007
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 727,875,005, 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 | 727,875,005 | |
| -1 | -727,875,005 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 727,875,005.
Example:
1 x 727,875,005 = 727,875,005
and
-1 x -727,875,005 = 727,875,005
Notice both answers equal 727,875,005
With that explanation out of the way, let's continue. Next, we take the number 727,875,005 and divide it by 2:
727,875,005 ÷ 2 = 363,937,502.5
If the quotient is a whole number, then 2 and 363,937,502.5 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 | 727,875,005 | |
| -1 | -727,875,005 |
Now, we try dividing 727,875,005 by 3:
727,875,005 ÷ 3 = 242,625,001.6667
If the quotient is a whole number, then 3 and 242,625,001.6667 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 | 727,875,005 | |
| -1 | -727,875,005 |
Let's try dividing by 4:
727,875,005 ÷ 4 = 181,968,751.25
If the quotient is a whole number, then 4 and 181,968,751.25 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 | 727,875,005 | |
| -1 | 727,875,005 |
If you did it right, you will end up with this table:
| 1 | 5 | 11 | 13 | 55 | 65 | 143 | 715 | 1,018,007 | 5,090,035 | 11,198,077 | 13,234,091 | 55,990,385 | 66,170,455 | 145,575,001 | 727,875,005 |
| -1 | -5 | -11 | -13 | -55 | -65 | -143 | -715 | -1,018,007 | -5,090,035 | -11,198,077 | -13,234,091 | -55,990,385 | -66,170,455 | -145,575,001 | -727,875,005 |
Here are some more numbers to try:
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