A:
Positive:
1 x 4143314055 x 82866281103 x 4022635515 x 804527563 x 7359351429 x 2899452815 x 1471877145 x 57989
Negative:
-1 x -414331405-5 x -82866281-103 x -4022635-515 x -804527-563 x -735935-1429 x -289945-2815 x -147187-7145 x -57989
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 414,331,405, 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 | 414,331,405 | |
| -1 | -414,331,405 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 414,331,405.
Example:
1 x 414,331,405 = 414,331,405
and
-1 x -414,331,405 = 414,331,405
Notice both answers equal 414,331,405
With that explanation out of the way, let's continue. Next, we take the number 414,331,405 and divide it by 2:
414,331,405 ÷ 2 = 207,165,702.5
If the quotient is a whole number, then 2 and 207,165,702.5 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 | 414,331,405 | |
| -1 | -414,331,405 |
Now, we try dividing 414,331,405 by 3:
414,331,405 ÷ 3 = 138,110,468.3333
If the quotient is a whole number, then 3 and 138,110,468.3333 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 | 414,331,405 | |
| -1 | -414,331,405 |
Let's try dividing by 4:
414,331,405 ÷ 4 = 103,582,851.25
If the quotient is a whole number, then 4 and 103,582,851.25 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 | 414,331,405 | |
| -1 | 414,331,405 |
If you did it right, you will end up with this table:
| 1 | 5 | 103 | 515 | 563 | 1,429 | 2,815 | 7,145 | 57,989 | 147,187 | 289,945 | 735,935 | 804,527 | 4,022,635 | 82,866,281 | 414,331,405 |
| -1 | -5 | -103 | -515 | -563 | -1,429 | -2,815 | -7,145 | -57,989 | -147,187 | -289,945 | -735,935 | -804,527 | -4,022,635 | -82,866,281 | -414,331,405 |
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