A:
Positive:
1 x 7230060055 x 14460120117 x 4252976585 x 8505953601 x 12030053005 x 24060110217 x 7076514153 x 51085
Negative:
-1 x -723006005-5 x -144601201-17 x -42529765-85 x -8505953-601 x -1203005-3005 x -240601-10217 x -70765-14153 x -51085
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 723,006,005, 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 | 723,006,005 | |
| -1 | -723,006,005 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 723,006,005.
Example:
1 x 723,006,005 = 723,006,005
and
-1 x -723,006,005 = 723,006,005
Notice both answers equal 723,006,005
With that explanation out of the way, let's continue. Next, we take the number 723,006,005 and divide it by 2:
723,006,005 ÷ 2 = 361,503,002.5
If the quotient is a whole number, then 2 and 361,503,002.5 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 | 723,006,005 | |
| -1 | -723,006,005 |
Now, we try dividing 723,006,005 by 3:
723,006,005 ÷ 3 = 241,002,001.6667
If the quotient is a whole number, then 3 and 241,002,001.6667 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 | 723,006,005 | |
| -1 | -723,006,005 |
Let's try dividing by 4:
723,006,005 ÷ 4 = 180,751,501.25
If the quotient is a whole number, then 4 and 180,751,501.25 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 | 723,006,005 | |
| -1 | 723,006,005 |
If you did it right, you will end up with this table:
| 1 | 5 | 17 | 85 | 601 | 3,005 | 10,217 | 14,153 | 51,085 | 70,765 | 240,601 | 1,203,005 | 8,505,953 | 42,529,765 | 144,601,201 | 723,006,005 |
| -1 | -5 | -17 | -85 | -601 | -3,005 | -10,217 | -14,153 | -51,085 | -70,765 | -240,601 | -1,203,005 | -8,505,953 | -42,529,765 | -144,601,201 | -723,006,005 |
Here are some more numbers to try:
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