A:
Positive:
1 x 510081655 x 1020163313 x 392370565 x 784741277 x 1841451385 x 368292833 x 180053601 x 14165
Negative:
-1 x -51008165-5 x -10201633-13 x -3923705-65 x -784741-277 x -184145-1385 x -36829-2833 x -18005-3601 x -14165
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 51,008,165, 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 | 51,008,165 | |
| -1 | -51,008,165 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 51,008,165.
Example:
1 x 51,008,165 = 51,008,165
and
-1 x -51,008,165 = 51,008,165
Notice both answers equal 51,008,165
With that explanation out of the way, let's continue. Next, we take the number 51,008,165 and divide it by 2:
51,008,165 ÷ 2 = 25,504,082.5
If the quotient is a whole number, then 2 and 25,504,082.5 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 | 51,008,165 | |
| -1 | -51,008,165 |
Now, we try dividing 51,008,165 by 3:
51,008,165 ÷ 3 = 17,002,721.6667
If the quotient is a whole number, then 3 and 17,002,721.6667 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 | 51,008,165 | |
| -1 | -51,008,165 |
Let's try dividing by 4:
51,008,165 ÷ 4 = 12,752,041.25
If the quotient is a whole number, then 4 and 12,752,041.25 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 | 51,008,165 | |
| -1 | 51,008,165 |
If you did it right, you will end up with this table:
| 1 | 5 | 13 | 65 | 277 | 1,385 | 2,833 | 3,601 | 14,165 | 18,005 | 36,829 | 184,145 | 784,741 | 3,923,705 | 10,201,633 | 51,008,165 |
| -1 | -5 | -13 | -65 | -277 | -1,385 | -2,833 | -3,601 | -14,165 | -18,005 | -36,829 | -184,145 | -784,741 | -3,923,705 | -10,201,633 | -51,008,165 |
Here are some more numbers to try:
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