A:
Positive:
1 x 41132202111 x 3739291117 x 2419541383 x 4955687187 x 2199583913 x 4505171411 x 29151115521 x 26501
Negative:
-1 x -411322021-11 x -37392911-17 x -24195413-83 x -4955687-187 x -2199583-913 x -450517-1411 x -291511-15521 x -26501
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 411,322,021, 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 | 411,322,021 | |
| -1 | -411,322,021 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 411,322,021.
Example:
1 x 411,322,021 = 411,322,021
and
-1 x -411,322,021 = 411,322,021
Notice both answers equal 411,322,021
With that explanation out of the way, let's continue. Next, we take the number 411,322,021 and divide it by 2:
411,322,021 ÷ 2 = 205,661,010.5
If the quotient is a whole number, then 2 and 205,661,010.5 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 | 411,322,021 | |
| -1 | -411,322,021 |
Now, we try dividing 411,322,021 by 3:
411,322,021 ÷ 3 = 137,107,340.3333
If the quotient is a whole number, then 3 and 137,107,340.3333 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 | 411,322,021 | |
| -1 | -411,322,021 |
Let's try dividing by 4:
411,322,021 ÷ 4 = 102,830,505.25
If the quotient is a whole number, then 4 and 102,830,505.25 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 | 411,322,021 | |
| -1 | 411,322,021 |
If you did it right, you will end up with this table:
| 1 | 11 | 17 | 83 | 187 | 913 | 1,411 | 15,521 | 26,501 | 291,511 | 450,517 | 2,199,583 | 4,955,687 | 24,195,413 | 37,392,911 | 411,322,021 |
| -1 | -11 | -17 | -83 | -187 | -913 | -1,411 | -15,521 | -26,501 | -291,511 | -450,517 | -2,199,583 | -4,955,687 | -24,195,413 | -37,392,911 | -411,322,021 |
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