A:
Positive:
1 x 2120020217 x 3028600311 x 1927291141 x 517078177 x 2753273287 x 738683451 x 4700713157 x 67153
Negative:
-1 x -212002021-7 x -30286003-11 x -19272911-41 x -5170781-77 x -2753273-287 x -738683-451 x -470071-3157 x -67153
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 212,002,021, 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 | 212,002,021 | |
| -1 | -212,002,021 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 212,002,021.
Example:
1 x 212,002,021 = 212,002,021
and
-1 x -212,002,021 = 212,002,021
Notice both answers equal 212,002,021
With that explanation out of the way, let's continue. Next, we take the number 212,002,021 and divide it by 2:
212,002,021 ÷ 2 = 106,001,010.5
If the quotient is a whole number, then 2 and 106,001,010.5 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 | 212,002,021 | |
| -1 | -212,002,021 |
Now, we try dividing 212,002,021 by 3:
212,002,021 ÷ 3 = 70,667,340.3333
If the quotient is a whole number, then 3 and 70,667,340.3333 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 | 212,002,021 | |
| -1 | -212,002,021 |
Let's try dividing by 4:
212,002,021 ÷ 4 = 53,000,505.25
If the quotient is a whole number, then 4 and 53,000,505.25 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 | 212,002,021 | |
| -1 | 212,002,021 |
If you did it right, you will end up with this table:
| 1 | 7 | 11 | 41 | 77 | 287 | 451 | 3,157 | 67,153 | 470,071 | 738,683 | 2,753,273 | 5,170,781 | 19,272,911 | 30,286,003 | 212,002,021 |
| -1 | -7 | -11 | -41 | -77 | -287 | -451 | -3,157 | -67,153 | -470,071 | -738,683 | -2,753,273 | -5,170,781 | -19,272,911 | -30,286,003 | -212,002,021 |
Here are some more numbers to try:
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