A:
Positive:
1 x 21672533311 x 1970230317 x 12748549187 x 1158959431 x 5028432689 x 805974741 x 457137327 x 29579
Negative:
-1 x -216725333-11 x -19702303-17 x -12748549-187 x -1158959-431 x -502843-2689 x -80597-4741 x -45713-7327 x -29579
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 216,725,333, 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 | 216,725,333 | |
| -1 | -216,725,333 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 216,725,333.
Example:
1 x 216,725,333 = 216,725,333
and
-1 x -216,725,333 = 216,725,333
Notice both answers equal 216,725,333
With that explanation out of the way, let's continue. Next, we take the number 216,725,333 and divide it by 2:
216,725,333 ÷ 2 = 108,362,666.5
If the quotient is a whole number, then 2 and 108,362,666.5 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 | 216,725,333 | |
| -1 | -216,725,333 |
Now, we try dividing 216,725,333 by 3:
216,725,333 ÷ 3 = 72,241,777.6667
If the quotient is a whole number, then 3 and 72,241,777.6667 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 | 216,725,333 | |
| -1 | -216,725,333 |
Let's try dividing by 4:
216,725,333 ÷ 4 = 54,181,333.25
If the quotient is a whole number, then 4 and 54,181,333.25 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 | 216,725,333 | |
| -1 | 216,725,333 |
If you did it right, you will end up with this table:
| 1 | 11 | 17 | 187 | 431 | 2,689 | 4,741 | 7,327 | 29,579 | 45,713 | 80,597 | 502,843 | 1,158,959 | 12,748,549 | 19,702,303 | 216,725,333 |
| -1 | -11 | -17 | -187 | -431 | -2,689 | -4,741 | -7,327 | -29,579 | -45,713 | -80,597 | -502,843 | -1,158,959 | -12,748,549 | -19,702,303 | -216,725,333 |
Here are some more numbers to try:
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