A:
Positive:
1 x 21202320113 x 1630947717 x 12471953221 x 959381257 x 8249933341 x 634613733 x 567974369 x 48529
Negative:
-1 x -212023201-13 x -16309477-17 x -12471953-221 x -959381-257 x -824993-3341 x -63461-3733 x -56797-4369 x -48529
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 212,023,201, 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 | 212,023,201 | |
| -1 | -212,023,201 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 212,023,201.
Example:
1 x 212,023,201 = 212,023,201
and
-1 x -212,023,201 = 212,023,201
Notice both answers equal 212,023,201
With that explanation out of the way, let's continue. Next, we take the number 212,023,201 and divide it by 2:
212,023,201 ÷ 2 = 106,011,600.5
If the quotient is a whole number, then 2 and 106,011,600.5 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 | 212,023,201 | |
| -1 | -212,023,201 |
Now, we try dividing 212,023,201 by 3:
212,023,201 ÷ 3 = 70,674,400.3333
If the quotient is a whole number, then 3 and 70,674,400.3333 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 | 212,023,201 | |
| -1 | -212,023,201 |
Let's try dividing by 4:
212,023,201 ÷ 4 = 53,005,800.25
If the quotient is a whole number, then 4 and 53,005,800.25 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 | 212,023,201 | |
| -1 | 212,023,201 |
If you did it right, you will end up with this table:
| 1 | 13 | 17 | 221 | 257 | 3,341 | 3,733 | 4,369 | 48,529 | 56,797 | 63,461 | 824,993 | 959,381 | 12,471,953 | 16,309,477 | 212,023,201 |
| -1 | -13 | -17 | -221 | -257 | -3,341 | -3,733 | -4,369 | -48,529 | -56,797 | -63,461 | -824,993 | -959,381 | -12,471,953 | -16,309,477 | -212,023,201 |
Here are some more numbers to try:
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