A:
Positive:
1 x 40312421317 x 2371318937 x 10895249431 x 935323629 x 6408971487 x 2710997327 x 5501915947 x 25279
Negative:
-1 x -403124213-17 x -23713189-37 x -10895249-431 x -935323-629 x -640897-1487 x -271099-7327 x -55019-15947 x -25279
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 403,124,213, 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 | 403,124,213 | |
| -1 | -403,124,213 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 403,124,213.
Example:
1 x 403,124,213 = 403,124,213
and
-1 x -403,124,213 = 403,124,213
Notice both answers equal 403,124,213
With that explanation out of the way, let's continue. Next, we take the number 403,124,213 and divide it by 2:
403,124,213 ÷ 2 = 201,562,106.5
If the quotient is a whole number, then 2 and 201,562,106.5 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 | 403,124,213 | |
| -1 | -403,124,213 |
Now, we try dividing 403,124,213 by 3:
403,124,213 ÷ 3 = 134,374,737.6667
If the quotient is a whole number, then 3 and 134,374,737.6667 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 | 403,124,213 | |
| -1 | -403,124,213 |
Let's try dividing by 4:
403,124,213 ÷ 4 = 100,781,053.25
If the quotient is a whole number, then 4 and 100,781,053.25 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 | 403,124,213 | |
| -1 | 403,124,213 |
If you did it right, you will end up with this table:
| 1 | 17 | 37 | 431 | 629 | 1,487 | 7,327 | 15,947 | 25,279 | 55,019 | 271,099 | 640,897 | 935,323 | 10,895,249 | 23,713,189 | 403,124,213 |
| -1 | -17 | -37 | -431 | -629 | -1,487 | -7,327 | -15,947 | -25,279 | -55,019 | -271,099 | -640,897 | -935,323 | -10,895,249 | -23,713,189 | -403,124,213 |
Here are some more numbers to try:
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