A:
Positive:
1 x 4311422355 x 86228447101 x 4268735227 x 1899305505 x 8537471135 x 3798613761 x 11463518805 x 22927
Negative:
-1 x -431142235-5 x -86228447-101 x -4268735-227 x -1899305-505 x -853747-1135 x -379861-3761 x -114635-18805 x -22927
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 431,142,235, 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 | 431,142,235 | |
| -1 | -431,142,235 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 431,142,235.
Example:
1 x 431,142,235 = 431,142,235
and
-1 x -431,142,235 = 431,142,235
Notice both answers equal 431,142,235
With that explanation out of the way, let's continue. Next, we take the number 431,142,235 and divide it by 2:
431,142,235 ÷ 2 = 215,571,117.5
If the quotient is a whole number, then 2 and 215,571,117.5 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 | 431,142,235 | |
| -1 | -431,142,235 |
Now, we try dividing 431,142,235 by 3:
431,142,235 ÷ 3 = 143,714,078.3333
If the quotient is a whole number, then 3 and 143,714,078.3333 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 | 431,142,235 | |
| -1 | -431,142,235 |
Let's try dividing by 4:
431,142,235 ÷ 4 = 107,785,558.75
If the quotient is a whole number, then 4 and 107,785,558.75 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 | 431,142,235 | |
| -1 | 431,142,235 |
If you did it right, you will end up with this table:
| 1 | 5 | 101 | 227 | 505 | 1,135 | 3,761 | 18,805 | 22,927 | 114,635 | 379,861 | 853,747 | 1,899,305 | 4,268,735 | 86,228,447 | 431,142,235 |
| -1 | -5 | -101 | -227 | -505 | -1,135 | -3,761 | -18,805 | -22,927 | -114,635 | -379,861 | -853,747 | -1,899,305 | -4,268,735 | -86,228,447 | -431,142,235 |
Here are some more numbers to try:
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