A:
Positive:
1 x 663663655 x 1327327313 x 510510565 x 1021021181 x 366665905 x 733332353 x 282055641 x 11765
Negative:
-1 x -66366365-5 x -13273273-13 x -5105105-65 x -1021021-181 x -366665-905 x -73333-2353 x -28205-5641 x -11765
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 66,366,365, 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 | 66,366,365 | |
| -1 | -66,366,365 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 66,366,365.
Example:
1 x 66,366,365 = 66,366,365
and
-1 x -66,366,365 = 66,366,365
Notice both answers equal 66,366,365
With that explanation out of the way, let's continue. Next, we take the number 66,366,365 and divide it by 2:
66,366,365 ÷ 2 = 33,183,182.5
If the quotient is a whole number, then 2 and 33,183,182.5 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 | 66,366,365 | |
| -1 | -66,366,365 |
Now, we try dividing 66,366,365 by 3:
66,366,365 ÷ 3 = 22,122,121.6667
If the quotient is a whole number, then 3 and 22,122,121.6667 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 | 66,366,365 | |
| -1 | -66,366,365 |
Let's try dividing by 4:
66,366,365 ÷ 4 = 16,591,591.25
If the quotient is a whole number, then 4 and 16,591,591.25 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 | 66,366,365 | |
| -1 | 66,366,365 |
If you did it right, you will end up with this table:
| 1 | 5 | 13 | 65 | 181 | 905 | 2,353 | 5,641 | 11,765 | 28,205 | 73,333 | 366,665 | 1,021,021 | 5,105,105 | 13,273,273 | 66,366,365 |
| -1 | -5 | -13 | -65 | -181 | -905 | -2,353 | -5,641 | -11,765 | -28,205 | -73,333 | -366,665 | -1,021,021 | -5,105,105 | -13,273,273 | -66,366,365 |
Here are some more numbers to try:
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