A:
Positive:
1 x 4234142055 x 8468284167 x 6319615181 x 2339305335 x 1263923905 x 4678616983 x 6063512127 x 34915
Negative:
-1 x -423414205-5 x -84682841-67 x -6319615-181 x -2339305-335 x -1263923-905 x -467861-6983 x -60635-12127 x -34915
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 423,414,205, 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 | 423,414,205 | |
| -1 | -423,414,205 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 423,414,205.
Example:
1 x 423,414,205 = 423,414,205
and
-1 x -423,414,205 = 423,414,205
Notice both answers equal 423,414,205
With that explanation out of the way, let's continue. Next, we take the number 423,414,205 and divide it by 2:
423,414,205 ÷ 2 = 211,707,102.5
If the quotient is a whole number, then 2 and 211,707,102.5 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 | 423,414,205 | |
| -1 | -423,414,205 |
Now, we try dividing 423,414,205 by 3:
423,414,205 ÷ 3 = 141,138,068.3333
If the quotient is a whole number, then 3 and 141,138,068.3333 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 | 423,414,205 | |
| -1 | -423,414,205 |
Let's try dividing by 4:
423,414,205 ÷ 4 = 105,853,551.25
If the quotient is a whole number, then 4 and 105,853,551.25 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 | 423,414,205 | |
| -1 | 423,414,205 |
If you did it right, you will end up with this table:
| 1 | 5 | 67 | 181 | 335 | 905 | 6,983 | 12,127 | 34,915 | 60,635 | 467,861 | 1,263,923 | 2,339,305 | 6,319,615 | 84,682,841 | 423,414,205 |
| -1 | -5 | -67 | -181 | -335 | -905 | -6,983 | -12,127 | -34,915 | -60,635 | -467,861 | -1,263,923 | -2,339,305 | -6,319,615 | -84,682,841 | -423,414,205 |
Here are some more numbers to try:
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