A:
Positive:
1 x 21420123119 x 1127374923 x 931309747 x 4557473437 x 490163893 x 2398671081 x 19815110429 x 20539
Negative:
-1 x -214201231-19 x -11273749-23 x -9313097-47 x -4557473-437 x -490163-893 x -239867-1081 x -198151-10429 x -20539
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 214,201,231, 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 | 214,201,231 | |
| -1 | -214,201,231 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 214,201,231.
Example:
1 x 214,201,231 = 214,201,231
and
-1 x -214,201,231 = 214,201,231
Notice both answers equal 214,201,231
With that explanation out of the way, let's continue. Next, we take the number 214,201,231 and divide it by 2:
214,201,231 ÷ 2 = 107,100,615.5
If the quotient is a whole number, then 2 and 107,100,615.5 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 | 214,201,231 | |
| -1 | -214,201,231 |
Now, we try dividing 214,201,231 by 3:
214,201,231 ÷ 3 = 71,400,410.3333
If the quotient is a whole number, then 3 and 71,400,410.3333 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 | 214,201,231 | |
| -1 | -214,201,231 |
Let's try dividing by 4:
214,201,231 ÷ 4 = 53,550,307.75
If the quotient is a whole number, then 4 and 53,550,307.75 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 | 214,201,231 | |
| -1 | 214,201,231 |
If you did it right, you will end up with this table:
| 1 | 19 | 23 | 47 | 437 | 893 | 1,081 | 10,429 | 20,539 | 198,151 | 239,867 | 490,163 | 4,557,473 | 9,313,097 | 11,273,749 | 214,201,231 |
| -1 | -19 | -23 | -47 | -437 | -893 | -1,081 | -10,429 | -20,539 | -198,151 | -239,867 | -490,163 | -4,557,473 | -9,313,097 | -11,273,749 | -214,201,231 |
Here are some more numbers to try:
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