A:
Positive:
1 x 22121212113 x 17016317107 x 2067403109 x 20294691391 x 1590311417 x 1561131459 x 15161911663 x 18967
Negative:
-1 x -221212121-13 x -17016317-107 x -2067403-109 x -2029469-1391 x -159031-1417 x -156113-1459 x -151619-11663 x -18967
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 221,212,121, 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 | 221,212,121 | |
| -1 | -221,212,121 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 221,212,121.
Example:
1 x 221,212,121 = 221,212,121
and
-1 x -221,212,121 = 221,212,121
Notice both answers equal 221,212,121
With that explanation out of the way, let's continue. Next, we take the number 221,212,121 and divide it by 2:
221,212,121 ÷ 2 = 110,606,060.5
If the quotient is a whole number, then 2 and 110,606,060.5 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 | 221,212,121 | |
| -1 | -221,212,121 |
Now, we try dividing 221,212,121 by 3:
221,212,121 ÷ 3 = 73,737,373.6667
If the quotient is a whole number, then 3 and 73,737,373.6667 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 | 221,212,121 | |
| -1 | -221,212,121 |
Let's try dividing by 4:
221,212,121 ÷ 4 = 55,303,030.25
If the quotient is a whole number, then 4 and 55,303,030.25 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 | 221,212,121 | |
| -1 | 221,212,121 |
If you did it right, you will end up with this table:
| 1 | 13 | 107 | 109 | 1,391 | 1,417 | 1,459 | 11,663 | 18,967 | 151,619 | 156,113 | 159,031 | 2,029,469 | 2,067,403 | 17,016,317 | 221,212,121 |
| -1 | -13 | -107 | -109 | -1,391 | -1,417 | -1,459 | -11,663 | -18,967 | -151,619 | -156,113 | -159,031 | -2,029,469 | -2,067,403 | -17,016,317 | -221,212,121 |
Here are some more numbers to try:
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