A:
Positive:
1 x 661455055 x 1322910141 x 1613305205 x 322661229 x 2888451145 x 577691409 x 469457045 x 9389
Negative:
-1 x -66145505-5 x -13229101-41 x -1613305-205 x -322661-229 x -288845-1145 x -57769-1409 x -46945-7045 x -9389
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 66,145,505, 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 | 66,145,505 | |
| -1 | -66,145,505 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 66,145,505.
Example:
1 x 66,145,505 = 66,145,505
and
-1 x -66,145,505 = 66,145,505
Notice both answers equal 66,145,505
With that explanation out of the way, let's continue. Next, we take the number 66,145,505 and divide it by 2:
66,145,505 ÷ 2 = 33,072,752.5
If the quotient is a whole number, then 2 and 33,072,752.5 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 | 66,145,505 | |
| -1 | -66,145,505 |
Now, we try dividing 66,145,505 by 3:
66,145,505 ÷ 3 = 22,048,501.6667
If the quotient is a whole number, then 3 and 22,048,501.6667 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 | 66,145,505 | |
| -1 | -66,145,505 |
Let's try dividing by 4:
66,145,505 ÷ 4 = 16,536,376.25
If the quotient is a whole number, then 4 and 16,536,376.25 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 | 66,145,505 | |
| -1 | 66,145,505 |
If you did it right, you will end up with this table:
| 1 | 5 | 41 | 205 | 229 | 1,145 | 1,409 | 7,045 | 9,389 | 46,945 | 57,769 | 288,845 | 322,661 | 1,613,305 | 13,229,101 | 66,145,505 |
| -1 | -5 | -41 | -205 | -229 | -1,145 | -1,409 | -7,045 | -9,389 | -46,945 | -57,769 | -288,845 | -322,661 | -1,613,305 | -13,229,101 | -66,145,505 |
Here are some more numbers to try:
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