A:
Positive:
1 x 4353130255 x 870626057 x 6218757525 x 1741252135 x 12437515175 x 2487503257 x 16938251285 x 3387651799 x 2419756425 x 677538995 x 483959679 x 44975
Negative:
-1 x -435313025-5 x -87062605-7 x -62187575-25 x -17412521-35 x -12437515-175 x -2487503-257 x -1693825-1285 x -338765-1799 x -241975-6425 x -67753-8995 x -48395-9679 x -44975
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 435,313,025, 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 | 435,313,025 | |
| -1 | -435,313,025 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 435,313,025.
Example:
1 x 435,313,025 = 435,313,025
and
-1 x -435,313,025 = 435,313,025
Notice both answers equal 435,313,025
With that explanation out of the way, let's continue. Next, we take the number 435,313,025 and divide it by 2:
435,313,025 ÷ 2 = 217,656,512.5
If the quotient is a whole number, then 2 and 217,656,512.5 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 | 435,313,025 | |
| -1 | -435,313,025 |
Now, we try dividing 435,313,025 by 3:
435,313,025 ÷ 3 = 145,104,341.6667
If the quotient is a whole number, then 3 and 145,104,341.6667 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 | 435,313,025 | |
| -1 | -435,313,025 |
Let's try dividing by 4:
435,313,025 ÷ 4 = 108,828,256.25
If the quotient is a whole number, then 4 and 108,828,256.25 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 | 435,313,025 | |
| -1 | 435,313,025 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 25 | 35 | 175 | 257 | 1,285 | 1,799 | 6,425 | 8,995 | 9,679 | 44,975 | 48,395 | 67,753 | 241,975 | 338,765 | 1,693,825 | 2,487,503 | 12,437,515 | 17,412,521 | 62,187,575 | 87,062,605 | 435,313,025 |
| -1 | -5 | -7 | -25 | -35 | -175 | -257 | -1,285 | -1,799 | -6,425 | -8,995 | -9,679 | -44,975 | -48,395 | -67,753 | -241,975 | -338,765 | -1,693,825 | -2,487,503 | -12,437,515 | -17,412,521 | -62,187,575 | -87,062,605 | -435,313,025 |
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