A:
Positive:
1 x 2110010217 x 3014300311 x 1918191177 x 274027379 x 2670899553 x 381557869 x 2428096083 x 34687
Negative:
-1 x -211001021-7 x -30143003-11 x -19181911-77 x -2740273-79 x -2670899-553 x -381557-869 x -242809-6083 x -34687
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 211,001,021, 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 | 211,001,021 | |
| -1 | -211,001,021 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 211,001,021.
Example:
1 x 211,001,021 = 211,001,021
and
-1 x -211,001,021 = 211,001,021
Notice both answers equal 211,001,021
With that explanation out of the way, let's continue. Next, we take the number 211,001,021 and divide it by 2:
211,001,021 ÷ 2 = 105,500,510.5
If the quotient is a whole number, then 2 and 105,500,510.5 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 | 211,001,021 | |
| -1 | -211,001,021 |
Now, we try dividing 211,001,021 by 3:
211,001,021 ÷ 3 = 70,333,673.6667
If the quotient is a whole number, then 3 and 70,333,673.6667 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 | 211,001,021 | |
| -1 | -211,001,021 |
Let's try dividing by 4:
211,001,021 ÷ 4 = 52,750,255.25
If the quotient is a whole number, then 4 and 52,750,255.25 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 | 211,001,021 | |
| -1 | 211,001,021 |
If you did it right, you will end up with this table:
| 1 | 7 | 11 | 77 | 79 | 553 | 869 | 6,083 | 34,687 | 242,809 | 381,557 | 2,670,899 | 2,740,273 | 19,181,911 | 30,143,003 | 211,001,021 |
| -1 | -7 | -11 | -77 | -79 | -553 | -869 | -6,083 | -34,687 | -242,809 | -381,557 | -2,670,899 | -2,740,273 | -19,181,911 | -30,143,003 | -211,001,021 |
Here are some more numbers to try:
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