A:
Positive:
1 x 46043521711 x 41857747137 x 3360841277 x 16622211103 x 4174391507 x 3055313047 x 15111112133 x 37949
Negative:
-1 x -460435217-11 x -41857747-137 x -3360841-277 x -1662221-1103 x -417439-1507 x -305531-3047 x -151111-12133 x -37949
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 460,435,217, 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 | 460,435,217 | |
| -1 | -460,435,217 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 460,435,217.
Example:
1 x 460,435,217 = 460,435,217
and
-1 x -460,435,217 = 460,435,217
Notice both answers equal 460,435,217
With that explanation out of the way, let's continue. Next, we take the number 460,435,217 and divide it by 2:
460,435,217 ÷ 2 = 230,217,608.5
If the quotient is a whole number, then 2 and 230,217,608.5 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 | 460,435,217 | |
| -1 | -460,435,217 |
Now, we try dividing 460,435,217 by 3:
460,435,217 ÷ 3 = 153,478,405.6667
If the quotient is a whole number, then 3 and 153,478,405.6667 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 | 460,435,217 | |
| -1 | -460,435,217 |
Let's try dividing by 4:
460,435,217 ÷ 4 = 115,108,804.25
If the quotient is a whole number, then 4 and 115,108,804.25 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 | 460,435,217 | |
| -1 | 460,435,217 |
If you did it right, you will end up with this table:
| 1 | 11 | 137 | 277 | 1,103 | 1,507 | 3,047 | 12,133 | 37,949 | 151,111 | 305,531 | 417,439 | 1,662,221 | 3,360,841 | 41,857,747 | 460,435,217 |
| -1 | -11 | -137 | -277 | -1,103 | -1,507 | -3,047 | -12,133 | -37,949 | -151,111 | -305,531 | -417,439 | -1,662,221 | -3,360,841 | -41,857,747 | -460,435,217 |
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