A:
Positive:
1 x 117362217 x 167660359 x 198919157 x 74753181 x 64841413 x 284171099 x 106791267 x 9263
Negative:
-1 x -11736221-7 x -1676603-59 x -198919-157 x -74753-181 x -64841-413 x -28417-1099 x -10679-1267 x -9263
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 11,736,221, 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 | 11,736,221 | |
| -1 | -11,736,221 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 11,736,221.
Example:
1 x 11,736,221 = 11,736,221
and
-1 x -11,736,221 = 11,736,221
Notice both answers equal 11,736,221
With that explanation out of the way, let's continue. Next, we take the number 11,736,221 and divide it by 2:
11,736,221 ÷ 2 = 5,868,110.5
If the quotient is a whole number, then 2 and 5,868,110.5 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 | 11,736,221 | |
| -1 | -11,736,221 |
Now, we try dividing 11,736,221 by 3:
11,736,221 ÷ 3 = 3,912,073.6667
If the quotient is a whole number, then 3 and 3,912,073.6667 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 | 11,736,221 | |
| -1 | -11,736,221 |
Let's try dividing by 4:
11,736,221 ÷ 4 = 2,934,055.25
If the quotient is a whole number, then 4 and 2,934,055.25 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 | 11,736,221 | |
| -1 | 11,736,221 |
If you did it right, you will end up with this table:
| 1 | 7 | 59 | 157 | 181 | 413 | 1,099 | 1,267 | 9,263 | 10,679 | 28,417 | 64,841 | 74,753 | 198,919 | 1,676,603 | 11,736,221 |
| -1 | -7 | -59 | -157 | -181 | -413 | -1,099 | -1,267 | -9,263 | -10,679 | -28,417 | -64,841 | -74,753 | -198,919 | -1,676,603 | -11,736,221 |
Here are some more numbers to try:
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