A:
Positive:
1 x 2311213311 x 210110371 x 325523101 x 228833293 x 78881781 x 295931111 x 208033223 x 7171
Negative:
-1 x -23112133-11 x -2101103-71 x -325523-101 x -228833-293 x -78881-781 x -29593-1111 x -20803-3223 x -7171
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 23,112,133, 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 | 23,112,133 | |
| -1 | -23,112,133 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 23,112,133.
Example:
1 x 23,112,133 = 23,112,133
and
-1 x -23,112,133 = 23,112,133
Notice both answers equal 23,112,133
With that explanation out of the way, let's continue. Next, we take the number 23,112,133 and divide it by 2:
23,112,133 ÷ 2 = 11,556,066.5
If the quotient is a whole number, then 2 and 11,556,066.5 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 | 23,112,133 | |
| -1 | -23,112,133 |
Now, we try dividing 23,112,133 by 3:
23,112,133 ÷ 3 = 7,704,044.3333
If the quotient is a whole number, then 3 and 7,704,044.3333 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 | 23,112,133 | |
| -1 | -23,112,133 |
Let's try dividing by 4:
23,112,133 ÷ 4 = 5,778,033.25
If the quotient is a whole number, then 4 and 5,778,033.25 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 | 23,112,133 | |
| -1 | 23,112,133 |
If you did it right, you will end up with this table:
| 1 | 11 | 71 | 101 | 293 | 781 | 1,111 | 3,223 | 7,171 | 20,803 | 29,593 | 78,881 | 228,833 | 325,523 | 2,101,103 | 23,112,133 |
| -1 | -11 | -71 | -101 | -293 | -781 | -1,111 | -3,223 | -7,171 | -20,803 | -29,593 | -78,881 | -228,833 | -325,523 | -2,101,103 | -23,112,133 |
Here are some more numbers to try:
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