A:
Positive:
1 x 23363253111 x 2123932119 x 12296449103 x 2268277209 x 11178591133 x 2062071957 x 11938310853 x 21527
Negative:
-1 x -233632531-11 x -21239321-19 x -12296449-103 x -2268277-209 x -1117859-1133 x -206207-1957 x -119383-10853 x -21527
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 233,632,531, 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 | 233,632,531 | |
| -1 | -233,632,531 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 233,632,531.
Example:
1 x 233,632,531 = 233,632,531
and
-1 x -233,632,531 = 233,632,531
Notice both answers equal 233,632,531
With that explanation out of the way, let's continue. Next, we take the number 233,632,531 and divide it by 2:
233,632,531 ÷ 2 = 116,816,265.5
If the quotient is a whole number, then 2 and 116,816,265.5 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 | 233,632,531 | |
| -1 | -233,632,531 |
Now, we try dividing 233,632,531 by 3:
233,632,531 ÷ 3 = 77,877,510.3333
If the quotient is a whole number, then 3 and 77,877,510.3333 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 | 233,632,531 | |
| -1 | -233,632,531 |
Let's try dividing by 4:
233,632,531 ÷ 4 = 58,408,132.75
If the quotient is a whole number, then 4 and 58,408,132.75 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 | 233,632,531 | |
| -1 | 233,632,531 |
If you did it right, you will end up with this table:
| 1 | 11 | 19 | 103 | 209 | 1,133 | 1,957 | 10,853 | 21,527 | 119,383 | 206,207 | 1,117,859 | 2,268,277 | 12,296,449 | 21,239,321 | 233,632,531 |
| -1 | -11 | -19 | -103 | -209 | -1,133 | -1,957 | -10,853 | -21,527 | -119,383 | -206,207 | -1,117,859 | -2,268,277 | -12,296,449 | -21,239,321 | -233,632,531 |
Here are some more numbers to try:
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