A:
Positive:
1 x 142142217 x 203060359 x 240919127 x 111923271 x 52451413 x 34417889 x 159891897 x 7493
Negative:
-1 x -14214221-7 x -2030603-59 x -240919-127 x -111923-271 x -52451-413 x -34417-889 x -15989-1897 x -7493
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 14,214,221, 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 | 14,214,221 | |
| -1 | -14,214,221 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 14,214,221.
Example:
1 x 14,214,221 = 14,214,221
and
-1 x -14,214,221 = 14,214,221
Notice both answers equal 14,214,221
With that explanation out of the way, let's continue. Next, we take the number 14,214,221 and divide it by 2:
14,214,221 ÷ 2 = 7,107,110.5
If the quotient is a whole number, then 2 and 7,107,110.5 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 | 14,214,221 | |
| -1 | -14,214,221 |
Now, we try dividing 14,214,221 by 3:
14,214,221 ÷ 3 = 4,738,073.6667
If the quotient is a whole number, then 3 and 4,738,073.6667 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 | 14,214,221 | |
| -1 | -14,214,221 |
Let's try dividing by 4:
14,214,221 ÷ 4 = 3,553,555.25
If the quotient is a whole number, then 4 and 3,553,555.25 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 | 14,214,221 | |
| -1 | 14,214,221 |
If you did it right, you will end up with this table:
| 1 | 7 | 59 | 127 | 271 | 413 | 889 | 1,897 | 7,493 | 15,989 | 34,417 | 52,451 | 111,923 | 240,919 | 2,030,603 | 14,214,221 |
| -1 | -7 | -59 | -127 | -271 | -413 | -889 | -1,897 | -7,493 | -15,989 | -34,417 | -52,451 | -111,923 | -240,919 | -2,030,603 | -14,214,221 |
Here are some more numbers to try:
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