A:
Positive:
1 x 41351035713 x 3180848919 x 21763703109 x 3793673247 x 16741311417 x 2918212071 x 19966715359 x 26923
Negative:
-1 x -413510357-13 x -31808489-19 x -21763703-109 x -3793673-247 x -1674131-1417 x -291821-2071 x -199667-15359 x -26923
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 413,510,357, 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 | 413,510,357 | |
| -1 | -413,510,357 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 413,510,357.
Example:
1 x 413,510,357 = 413,510,357
and
-1 x -413,510,357 = 413,510,357
Notice both answers equal 413,510,357
With that explanation out of the way, let's continue. Next, we take the number 413,510,357 and divide it by 2:
413,510,357 ÷ 2 = 206,755,178.5
If the quotient is a whole number, then 2 and 206,755,178.5 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 | 413,510,357 | |
| -1 | -413,510,357 |
Now, we try dividing 413,510,357 by 3:
413,510,357 ÷ 3 = 137,836,785.6667
If the quotient is a whole number, then 3 and 137,836,785.6667 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 | 413,510,357 | |
| -1 | -413,510,357 |
Let's try dividing by 4:
413,510,357 ÷ 4 = 103,377,589.25
If the quotient is a whole number, then 4 and 103,377,589.25 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 | 413,510,357 | |
| -1 | 413,510,357 |
If you did it right, you will end up with this table:
| 1 | 13 | 19 | 109 | 247 | 1,417 | 2,071 | 15,359 | 26,923 | 199,667 | 291,821 | 1,674,131 | 3,793,673 | 21,763,703 | 31,808,489 | 413,510,357 |
| -1 | -13 | -19 | -109 | -247 | -1,417 | -2,071 | -15,359 | -26,923 | -199,667 | -291,821 | -1,674,131 | -3,793,673 | -21,763,703 | -31,808,489 | -413,510,357 |
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