A:
Positive:
1 x 2231221962 x 1115610984 x 5578054911 x 2028383622 x 1014191844 x 5070959
Negative:
-1 x -223122196-2 x -111561098-4 x -55780549-11 x -20283836-22 x -10141918-44 x -5070959
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 223,122,196, 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 | 223,122,196 | |
| -1 | -223,122,196 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 223,122,196.
Example:
1 x 223,122,196 = 223,122,196
and
-1 x -223,122,196 = 223,122,196
Notice both answers equal 223,122,196
With that explanation out of the way, let's continue. Next, we take the number 223,122,196 and divide it by 2:
223,122,196 ÷ 2 = 111,561,098
If the quotient is a whole number, then 2 and 111,561,098 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!
Here is what our table should look like at this step:
| 1 | 2 | 111,561,098 | 223,122,196 | |
| -1 | -2 | -111,561,098 | -223,122,196 |
Now, we try dividing 223,122,196 by 3:
223,122,196 ÷ 3 = 74,374,065.3333
If the quotient is a whole number, then 3 and 74,374,065.3333 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 | 2 | 111,561,098 | 223,122,196 | |
| -1 | -2 | -111,561,098 | -223,122,196 |
Let's try dividing by 4:
223,122,196 ÷ 4 = 55,780,549
If the quotient is a whole number, then 4 and 55,780,549 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!
Here is what our table should look like at this step:
| 1 | 2 | 4 | 55,780,549 | 111,561,098 | 223,122,196 | |
| -1 | -2 | -4 | -55,780,549 | -111,561,098 | 223,122,196 |
If you did it right, you will end up with this table:
| 1 | 2 | 4 | 11 | 22 | 44 | 5,070,959 | 10,141,918 | 20,283,836 | 55,780,549 | 111,561,098 | 223,122,196 |
| -1 | -2 | -4 | -11 | -22 | -44 | -5,070,959 | -10,141,918 | -20,283,836 | -55,780,549 | -111,561,098 | -223,122,196 |
Here are some more numbers to try:
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