A:
Positive:
1 x 22433122131 x 723649161 x 367756197 x 23126931223 x 1834271891 x 1186313007 x 746035917 x 37913
Negative:
-1 x -224331221-31 x -7236491-61 x -3677561-97 x -2312693-1223 x -183427-1891 x -118631-3007 x -74603-5917 x -37913
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 224,331,221, 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 | 224,331,221 | |
| -1 | -224,331,221 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 224,331,221.
Example:
1 x 224,331,221 = 224,331,221
and
-1 x -224,331,221 = 224,331,221
Notice both answers equal 224,331,221
With that explanation out of the way, let's continue. Next, we take the number 224,331,221 and divide it by 2:
224,331,221 ÷ 2 = 112,165,610.5
If the quotient is a whole number, then 2 and 112,165,610.5 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 | 224,331,221 | |
| -1 | -224,331,221 |
Now, we try dividing 224,331,221 by 3:
224,331,221 ÷ 3 = 74,777,073.6667
If the quotient is a whole number, then 3 and 74,777,073.6667 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 | 224,331,221 | |
| -1 | -224,331,221 |
Let's try dividing by 4:
224,331,221 ÷ 4 = 56,082,805.25
If the quotient is a whole number, then 4 and 56,082,805.25 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 | 224,331,221 | |
| -1 | 224,331,221 |
If you did it right, you will end up with this table:
| 1 | 31 | 61 | 97 | 1,223 | 1,891 | 3,007 | 5,917 | 37,913 | 74,603 | 118,631 | 183,427 | 2,312,693 | 3,677,561 | 7,236,491 | 224,331,221 |
| -1 | -31 | -61 | -97 | -1,223 | -1,891 | -3,007 | -5,917 | -37,913 | -74,603 | -118,631 | -183,427 | -2,312,693 | -3,677,561 | -7,236,491 | -224,331,221 |
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