A:
Positive:
1 x 2163516255 x 432703257 x 3090737525 x 865406535 x 6181475125 x 1730813175 x 1236295875 x 247259
Negative:
-1 x -216351625-5 x -43270325-7 x -30907375-25 x -8654065-35 x -6181475-125 x -1730813-175 x -1236295-875 x -247259
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 216,351,625, 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 | 216,351,625 | |
| -1 | -216,351,625 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 216,351,625.
Example:
1 x 216,351,625 = 216,351,625
and
-1 x -216,351,625 = 216,351,625
Notice both answers equal 216,351,625
With that explanation out of the way, let's continue. Next, we take the number 216,351,625 and divide it by 2:
216,351,625 ÷ 2 = 108,175,812.5
If the quotient is a whole number, then 2 and 108,175,812.5 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 | 216,351,625 | |
| -1 | -216,351,625 |
Now, we try dividing 216,351,625 by 3:
216,351,625 ÷ 3 = 72,117,208.3333
If the quotient is a whole number, then 3 and 72,117,208.3333 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 | 216,351,625 | |
| -1 | -216,351,625 |
Let's try dividing by 4:
216,351,625 ÷ 4 = 54,087,906.25
If the quotient is a whole number, then 4 and 54,087,906.25 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 | 216,351,625 | |
| -1 | 216,351,625 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 25 | 35 | 125 | 175 | 875 | 247,259 | 1,236,295 | 1,730,813 | 6,181,475 | 8,654,065 | 30,907,375 | 43,270,325 | 216,351,625 |
| -1 | -5 | -7 | -25 | -35 | -125 | -175 | -875 | -247,259 | -1,236,295 | -1,730,813 | -6,181,475 | -8,654,065 | -30,907,375 | -43,270,325 | -216,351,625 |
Here are some more numbers to try:
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