A:
Positive:
1 x 2132211255 x 4264422513 x 1640162525 x 852884565 x 3280325125 x 1705769325 x 6560651625 x 131213
Negative:
-1 x -213221125-5 x -42644225-13 x -16401625-25 x -8528845-65 x -3280325-125 x -1705769-325 x -656065-1625 x -131213
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 213,221,125, 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 | 213,221,125 | |
| -1 | -213,221,125 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 213,221,125.
Example:
1 x 213,221,125 = 213,221,125
and
-1 x -213,221,125 = 213,221,125
Notice both answers equal 213,221,125
With that explanation out of the way, let's continue. Next, we take the number 213,221,125 and divide it by 2:
213,221,125 ÷ 2 = 106,610,562.5
If the quotient is a whole number, then 2 and 106,610,562.5 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 | 213,221,125 | |
| -1 | -213,221,125 |
Now, we try dividing 213,221,125 by 3:
213,221,125 ÷ 3 = 71,073,708.3333
If the quotient is a whole number, then 3 and 71,073,708.3333 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 | 213,221,125 | |
| -1 | -213,221,125 |
Let's try dividing by 4:
213,221,125 ÷ 4 = 53,305,281.25
If the quotient is a whole number, then 4 and 53,305,281.25 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 | 213,221,125 | |
| -1 | 213,221,125 |
If you did it right, you will end up with this table:
| 1 | 5 | 13 | 25 | 65 | 125 | 325 | 1,625 | 131,213 | 656,065 | 1,705,769 | 3,280,325 | 8,528,845 | 16,401,625 | 42,644,225 | 213,221,125 |
| -1 | -5 | -13 | -25 | -65 | -125 | -325 | -1,625 | -131,213 | -656,065 | -1,705,769 | -3,280,325 | -8,528,845 | -16,401,625 | -42,644,225 | -213,221,125 |
Here are some more numbers to try:
Try the factor calculator