A:
Positive:
1 x 21306342123 x 926362773 x 2918677113 x 18855171123 x 1897271679 x 1268992599 x 819798249 x 25829
Negative:
-1 x -213063421-23 x -9263627-73 x -2918677-113 x -1885517-1123 x -189727-1679 x -126899-2599 x -81979-8249 x -25829
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 213,063,421, 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 | 213,063,421 | |
| -1 | -213,063,421 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 213,063,421.
Example:
1 x 213,063,421 = 213,063,421
and
-1 x -213,063,421 = 213,063,421
Notice both answers equal 213,063,421
With that explanation out of the way, let's continue. Next, we take the number 213,063,421 and divide it by 2:
213,063,421 ÷ 2 = 106,531,710.5
If the quotient is a whole number, then 2 and 106,531,710.5 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 | 213,063,421 | |
| -1 | -213,063,421 |
Now, we try dividing 213,063,421 by 3:
213,063,421 ÷ 3 = 71,021,140.3333
If the quotient is a whole number, then 3 and 71,021,140.3333 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 | 213,063,421 | |
| -1 | -213,063,421 |
Let's try dividing by 4:
213,063,421 ÷ 4 = 53,265,855.25
If the quotient is a whole number, then 4 and 53,265,855.25 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 | 213,063,421 | |
| -1 | 213,063,421 |
If you did it right, you will end up with this table:
| 1 | 23 | 73 | 113 | 1,123 | 1,679 | 2,599 | 8,249 | 25,829 | 81,979 | 126,899 | 189,727 | 1,885,517 | 2,918,677 | 9,263,627 | 213,063,421 |
| -1 | -23 | -73 | -113 | -1,123 | -1,679 | -2,599 | -8,249 | -25,829 | -81,979 | -126,899 | -189,727 | -1,885,517 | -2,918,677 | -9,263,627 | -213,063,421 |
Here are some more numbers to try:
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