A:
Positive:
1 x 4221055097 x 6030078737 x 11408257259 x 16297511187 x 3556071373 x 3074338309 x 508019611 x 43919
Negative:
-1 x -422105509-7 x -60300787-37 x -11408257-259 x -1629751-1187 x -355607-1373 x -307433-8309 x -50801-9611 x -43919
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 422,105,509, 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 | 422,105,509 | |
| -1 | -422,105,509 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 422,105,509.
Example:
1 x 422,105,509 = 422,105,509
and
-1 x -422,105,509 = 422,105,509
Notice both answers equal 422,105,509
With that explanation out of the way, let's continue. Next, we take the number 422,105,509 and divide it by 2:
422,105,509 ÷ 2 = 211,052,754.5
If the quotient is a whole number, then 2 and 211,052,754.5 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 | 422,105,509 | |
| -1 | -422,105,509 |
Now, we try dividing 422,105,509 by 3:
422,105,509 ÷ 3 = 140,701,836.3333
If the quotient is a whole number, then 3 and 140,701,836.3333 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 | 422,105,509 | |
| -1 | -422,105,509 |
Let's try dividing by 4:
422,105,509 ÷ 4 = 105,526,377.25
If the quotient is a whole number, then 4 and 105,526,377.25 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 | 422,105,509 | |
| -1 | 422,105,509 |
If you did it right, you will end up with this table:
| 1 | 7 | 37 | 259 | 1,187 | 1,373 | 8,309 | 9,611 | 43,919 | 50,801 | 307,433 | 355,607 | 1,629,751 | 11,408,257 | 60,300,787 | 422,105,509 |
| -1 | -7 | -37 | -259 | -1,187 | -1,373 | -8,309 | -9,611 | -43,919 | -50,801 | -307,433 | -355,607 | -1,629,751 | -11,408,257 | -60,300,787 | -422,105,509 |
Here are some more numbers to try:
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