A:
Positive:
1 x 2331220017 x 3330314319 x 12269579133 x 1752797727 x 3206632411 x 966915089 x 4580913813 x 16877
Negative:
-1 x -233122001-7 x -33303143-19 x -12269579-133 x -1752797-727 x -320663-2411 x -96691-5089 x -45809-13813 x -16877
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 233,122,001, 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 | 233,122,001 | |
| -1 | -233,122,001 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 233,122,001.
Example:
1 x 233,122,001 = 233,122,001
and
-1 x -233,122,001 = 233,122,001
Notice both answers equal 233,122,001
With that explanation out of the way, let's continue. Next, we take the number 233,122,001 and divide it by 2:
233,122,001 ÷ 2 = 116,561,000.5
If the quotient is a whole number, then 2 and 116,561,000.5 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 | 233,122,001 | |
| -1 | -233,122,001 |
Now, we try dividing 233,122,001 by 3:
233,122,001 ÷ 3 = 77,707,333.6667
If the quotient is a whole number, then 3 and 77,707,333.6667 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 | 233,122,001 | |
| -1 | -233,122,001 |
Let's try dividing by 4:
233,122,001 ÷ 4 = 58,280,500.25
If the quotient is a whole number, then 4 and 58,280,500.25 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 | 233,122,001 | |
| -1 | 233,122,001 |
If you did it right, you will end up with this table:
| 1 | 7 | 19 | 133 | 727 | 2,411 | 5,089 | 13,813 | 16,877 | 45,809 | 96,691 | 320,663 | 1,752,797 | 12,269,579 | 33,303,143 | 233,122,001 |
| -1 | -7 | -19 | -133 | -727 | -2,411 | -5,089 | -13,813 | -16,877 | -45,809 | -96,691 | -320,663 | -1,752,797 | -12,269,579 | -33,303,143 | -233,122,001 |
Here are some more numbers to try:
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