A:
Positive:
1 x 2210212255 x 4420424525 x 884084971 x 3112975239 x 924775355 x 622595521 x 4242251195 x 1849551775 x 1245192605 x 848455975 x 3699113025 x 16969
Negative:
-1 x -221021225-5 x -44204245-25 x -8840849-71 x -3112975-239 x -924775-355 x -622595-521 x -424225-1195 x -184955-1775 x -124519-2605 x -84845-5975 x -36991-13025 x -16969
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 221,021,225, 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 | 221,021,225 | |
| -1 | -221,021,225 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 221,021,225.
Example:
1 x 221,021,225 = 221,021,225
and
-1 x -221,021,225 = 221,021,225
Notice both answers equal 221,021,225
With that explanation out of the way, let's continue. Next, we take the number 221,021,225 and divide it by 2:
221,021,225 ÷ 2 = 110,510,612.5
If the quotient is a whole number, then 2 and 110,510,612.5 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 | 221,021,225 | |
| -1 | -221,021,225 |
Now, we try dividing 221,021,225 by 3:
221,021,225 ÷ 3 = 73,673,741.6667
If the quotient is a whole number, then 3 and 73,673,741.6667 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 | 221,021,225 | |
| -1 | -221,021,225 |
Let's try dividing by 4:
221,021,225 ÷ 4 = 55,255,306.25
If the quotient is a whole number, then 4 and 55,255,306.25 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 | 221,021,225 | |
| -1 | 221,021,225 |
If you did it right, you will end up with this table:
| 1 | 5 | 25 | 71 | 239 | 355 | 521 | 1,195 | 1,775 | 2,605 | 5,975 | 13,025 | 16,969 | 36,991 | 84,845 | 124,519 | 184,955 | 424,225 | 622,595 | 924,775 | 3,112,975 | 8,840,849 | 44,204,245 | 221,021,225 |
| -1 | -5 | -25 | -71 | -239 | -355 | -521 | -1,195 | -1,775 | -2,605 | -5,975 | -13,025 | -16,969 | -36,991 | -84,845 | -124,519 | -184,955 | -424,225 | -622,595 | -924,775 | -3,112,975 | -8,840,849 | -44,204,245 | -221,021,225 |
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