A:
Positive:
1 x 4315536255 x 8631072525 x 17262145125 x 3452429461 x 9361252305 x 1872257489 x 5762511525 x 37445
Negative:
-1 x -431553625-5 x -86310725-25 x -17262145-125 x -3452429-461 x -936125-2305 x -187225-7489 x -57625-11525 x -37445
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 431,553,625, 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 | 431,553,625 | |
| -1 | -431,553,625 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 431,553,625.
Example:
1 x 431,553,625 = 431,553,625
and
-1 x -431,553,625 = 431,553,625
Notice both answers equal 431,553,625
With that explanation out of the way, let's continue. Next, we take the number 431,553,625 and divide it by 2:
431,553,625 ÷ 2 = 215,776,812.5
If the quotient is a whole number, then 2 and 215,776,812.5 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 | 431,553,625 | |
| -1 | -431,553,625 |
Now, we try dividing 431,553,625 by 3:
431,553,625 ÷ 3 = 143,851,208.3333
If the quotient is a whole number, then 3 and 143,851,208.3333 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 | 431,553,625 | |
| -1 | -431,553,625 |
Let's try dividing by 4:
431,553,625 ÷ 4 = 107,888,406.25
If the quotient is a whole number, then 4 and 107,888,406.25 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 | 431,553,625 | |
| -1 | 431,553,625 |
If you did it right, you will end up with this table:
| 1 | 5 | 25 | 125 | 461 | 2,305 | 7,489 | 11,525 | 37,445 | 57,625 | 187,225 | 936,125 | 3,452,429 | 17,262,145 | 86,310,725 | 431,553,625 |
| -1 | -5 | -25 | -125 | -461 | -2,305 | -7,489 | -11,525 | -37,445 | -57,625 | -187,225 | -936,125 | -3,452,429 | -17,262,145 | -86,310,725 | -431,553,625 |
Here are some more numbers to try:
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