A:
Positive:
1 x 2212217 x 3160311 x 2011113 x 1701717 x 1301377 x 287391 x 2431119 x 1859143 x 1547169 x 1309187 x 1183221 x 1001
Negative:
-1 x -221221-7 x -31603-11 x -20111-13 x -17017-17 x -13013-77 x -2873-91 x -2431-119 x -1859-143 x -1547-169 x -1309-187 x -1183-221 x -1001
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 221,221, 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 | 221,221 | |
| -1 | -221,221 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 221,221.
Example:
1 x 221,221 = 221,221
and
-1 x -221,221 = 221,221
Notice both answers equal 221,221
With that explanation out of the way, let's continue. Next, we take the number 221,221 and divide it by 2:
221,221 ÷ 2 = 110,610.5
If the quotient is a whole number, then 2 and 110,610.5 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 | 221,221 | |
| -1 | -221,221 |
Now, we try dividing 221,221 by 3:
221,221 ÷ 3 = 73,740.3333
If the quotient is a whole number, then 3 and 73,740.3333 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 | 221,221 | |
| -1 | -221,221 |
Let's try dividing by 4:
221,221 ÷ 4 = 55,305.25
If the quotient is a whole number, then 4 and 55,305.25 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 | 221,221 | |
| -1 | 221,221 |
If you did it right, you will end up with this table:
| 1 | 7 | 11 | 13 | 17 | 77 | 91 | 119 | 143 | 169 | 187 | 221 | 1,001 | 1,183 | 1,309 | 1,547 | 1,859 | 2,431 | 2,873 | 13,013 | 17,017 | 20,111 | 31,603 | 221,221 |
| -1 | -7 | -11 | -13 | -17 | -77 | -91 | -119 | -143 | -169 | -187 | -221 | -1,001 | -1,183 | -1,309 | -1,547 | -1,859 | -2,431 | -2,873 | -13,013 | -17,017 | -20,111 | -31,603 | -221,221 |
Here are some more numbers to try:
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