A:
Positive:
1 x 2211220137 x 3158885929 x 762489789 x 2484517203 x 1089271623 x 3549312581 x 8567312239 x 18067
Negative:
-1 x -221122013-7 x -31588859-29 x -7624897-89 x -2484517-203 x -1089271-623 x -354931-2581 x -85673-12239 x -18067
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 221,122,013, 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 | 221,122,013 | |
| -1 | -221,122,013 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 221,122,013.
Example:
1 x 221,122,013 = 221,122,013
and
-1 x -221,122,013 = 221,122,013
Notice both answers equal 221,122,013
With that explanation out of the way, let's continue. Next, we take the number 221,122,013 and divide it by 2:
221,122,013 ÷ 2 = 110,561,006.5
If the quotient is a whole number, then 2 and 110,561,006.5 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 | 221,122,013 | |
| -1 | -221,122,013 |
Now, we try dividing 221,122,013 by 3:
221,122,013 ÷ 3 = 73,707,337.6667
If the quotient is a whole number, then 3 and 73,707,337.6667 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 | 221,122,013 | |
| -1 | -221,122,013 |
Let's try dividing by 4:
221,122,013 ÷ 4 = 55,280,503.25
If the quotient is a whole number, then 4 and 55,280,503.25 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 | 221,122,013 | |
| -1 | 221,122,013 |
If you did it right, you will end up with this table:
| 1 | 7 | 29 | 89 | 203 | 623 | 2,581 | 12,239 | 18,067 | 85,673 | 354,931 | 1,089,271 | 2,484,517 | 7,624,897 | 31,588,859 | 221,122,013 |
| -1 | -7 | -29 | -89 | -203 | -623 | -2,581 | -12,239 | -18,067 | -85,673 | -354,931 | -1,089,271 | -2,484,517 | -7,624,897 | -31,588,859 | -221,122,013 |
Here are some more numbers to try:
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