A:
Positive:
1 x 4312124155 x 8624248359 x 730868579 x 5458385295 x 1461737395 x 10916774661 x 9251518503 x 23305
Negative:
-1 x -431212415-5 x -86242483-59 x -7308685-79 x -5458385-295 x -1461737-395 x -1091677-4661 x -92515-18503 x -23305
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 431,212,415, 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 | 431,212,415 | |
| -1 | -431,212,415 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 431,212,415.
Example:
1 x 431,212,415 = 431,212,415
and
-1 x -431,212,415 = 431,212,415
Notice both answers equal 431,212,415
With that explanation out of the way, let's continue. Next, we take the number 431,212,415 and divide it by 2:
431,212,415 ÷ 2 = 215,606,207.5
If the quotient is a whole number, then 2 and 215,606,207.5 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 | 431,212,415 | |
| -1 | -431,212,415 |
Now, we try dividing 431,212,415 by 3:
431,212,415 ÷ 3 = 143,737,471.6667
If the quotient is a whole number, then 3 and 143,737,471.6667 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 | 431,212,415 | |
| -1 | -431,212,415 |
Let's try dividing by 4:
431,212,415 ÷ 4 = 107,803,103.75
If the quotient is a whole number, then 4 and 107,803,103.75 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 | 431,212,415 | |
| -1 | 431,212,415 |
If you did it right, you will end up with this table:
| 1 | 5 | 59 | 79 | 295 | 395 | 4,661 | 18,503 | 23,305 | 92,515 | 1,091,677 | 1,461,737 | 5,458,385 | 7,308,685 | 86,242,483 | 431,212,415 |
| -1 | -5 | -59 | -79 | -295 | -395 | -4,661 | -18,503 | -23,305 | -92,515 | -1,091,677 | -1,461,737 | -5,458,385 | -7,308,685 | -86,242,483 | -431,212,415 |
Here are some more numbers to try:
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