A:
Positive:
1 x 4314100155 x 86282003251 x 1718765379 x 1138285907 x 4756451255 x 3437531895 x 2276574535 x 95129
Negative:
-1 x -431410015-5 x -86282003-251 x -1718765-379 x -1138285-907 x -475645-1255 x -343753-1895 x -227657-4535 x -95129
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 431,410,015, 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 | 431,410,015 | |
| -1 | -431,410,015 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 431,410,015.
Example:
1 x 431,410,015 = 431,410,015
and
-1 x -431,410,015 = 431,410,015
Notice both answers equal 431,410,015
With that explanation out of the way, let's continue. Next, we take the number 431,410,015 and divide it by 2:
431,410,015 ÷ 2 = 215,705,007.5
If the quotient is a whole number, then 2 and 215,705,007.5 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 | 431,410,015 | |
| -1 | -431,410,015 |
Now, we try dividing 431,410,015 by 3:
431,410,015 ÷ 3 = 143,803,338.3333
If the quotient is a whole number, then 3 and 143,803,338.3333 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 | 431,410,015 | |
| -1 | -431,410,015 |
Let's try dividing by 4:
431,410,015 ÷ 4 = 107,852,503.75
If the quotient is a whole number, then 4 and 107,852,503.75 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 | 431,410,015 | |
| -1 | 431,410,015 |
If you did it right, you will end up with this table:
| 1 | 5 | 251 | 379 | 907 | 1,255 | 1,895 | 4,535 | 95,129 | 227,657 | 343,753 | 475,645 | 1,138,285 | 1,718,765 | 86,282,003 | 431,410,015 |
| -1 | -5 | -251 | -379 | -907 | -1,255 | -1,895 | -4,535 | -95,129 | -227,657 | -343,753 | -475,645 | -1,138,285 | -1,718,765 | -86,282,003 | -431,410,015 |
Here are some more numbers to try:
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