A:
Positive:
1 x 41022031713 x 3155540919 x 21590543239 x 1716403247 x 16608113107 x 1320314541 x 903376949 x 59033
Negative:
-1 x -410220317-13 x -31555409-19 x -21590543-239 x -1716403-247 x -1660811-3107 x -132031-4541 x -90337-6949 x -59033
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 410,220,317, 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 | 410,220,317 | |
| -1 | -410,220,317 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 410,220,317.
Example:
1 x 410,220,317 = 410,220,317
and
-1 x -410,220,317 = 410,220,317
Notice both answers equal 410,220,317
With that explanation out of the way, let's continue. Next, we take the number 410,220,317 and divide it by 2:
410,220,317 ÷ 2 = 205,110,158.5
If the quotient is a whole number, then 2 and 205,110,158.5 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 | 410,220,317 | |
| -1 | -410,220,317 |
Now, we try dividing 410,220,317 by 3:
410,220,317 ÷ 3 = 136,740,105.6667
If the quotient is a whole number, then 3 and 136,740,105.6667 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 | 410,220,317 | |
| -1 | -410,220,317 |
Let's try dividing by 4:
410,220,317 ÷ 4 = 102,555,079.25
If the quotient is a whole number, then 4 and 102,555,079.25 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 | 410,220,317 | |
| -1 | 410,220,317 |
If you did it right, you will end up with this table:
| 1 | 13 | 19 | 239 | 247 | 3,107 | 4,541 | 6,949 | 59,033 | 90,337 | 132,031 | 1,660,811 | 1,716,403 | 21,590,543 | 31,555,409 | 410,220,317 |
| -1 | -13 | -19 | -239 | -247 | -3,107 | -4,541 | -6,949 | -59,033 | -90,337 | -132,031 | -1,660,811 | -1,716,403 | -21,590,543 | -31,555,409 | -410,220,317 |
Here are some more numbers to try:
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