A:
Positive:
1 x 21340243319 x 1123170753 x 402646173 x 29233211007 x 2119191387 x 1538592903 x 735113869 x 55157
Negative:
-1 x -213402433-19 x -11231707-53 x -4026461-73 x -2923321-1007 x -211919-1387 x -153859-2903 x -73511-3869 x -55157
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 213,402,433, 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 | 213,402,433 | |
| -1 | -213,402,433 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 213,402,433.
Example:
1 x 213,402,433 = 213,402,433
and
-1 x -213,402,433 = 213,402,433
Notice both answers equal 213,402,433
With that explanation out of the way, let's continue. Next, we take the number 213,402,433 and divide it by 2:
213,402,433 ÷ 2 = 106,701,216.5
If the quotient is a whole number, then 2 and 106,701,216.5 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 | 213,402,433 | |
| -1 | -213,402,433 |
Now, we try dividing 213,402,433 by 3:
213,402,433 ÷ 3 = 71,134,144.3333
If the quotient is a whole number, then 3 and 71,134,144.3333 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 | 213,402,433 | |
| -1 | -213,402,433 |
Let's try dividing by 4:
213,402,433 ÷ 4 = 53,350,608.25
If the quotient is a whole number, then 4 and 53,350,608.25 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 | 213,402,433 | |
| -1 | 213,402,433 |
If you did it right, you will end up with this table:
| 1 | 19 | 53 | 73 | 1,007 | 1,387 | 2,903 | 3,869 | 55,157 | 73,511 | 153,859 | 211,919 | 2,923,321 | 4,026,461 | 11,231,707 | 213,402,433 |
| -1 | -19 | -53 | -73 | -1,007 | -1,387 | -2,903 | -3,869 | -55,157 | -73,511 | -153,859 | -211,919 | -2,923,321 | -4,026,461 | -11,231,707 | -213,402,433 |
Here are some more numbers to try:
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