A:
Positive:
1 x 3214412311 x 292219341 x 784003263 x 122221271 x 118613451 x 712732893 x 111112981 x 10783
Negative:
-1 x -32144123-11 x -2922193-41 x -784003-263 x -122221-271 x -118613-451 x -71273-2893 x -11111-2981 x -10783
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 32,144,123, 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 | 32,144,123 | |
| -1 | -32,144,123 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 32,144,123.
Example:
1 x 32,144,123 = 32,144,123
and
-1 x -32,144,123 = 32,144,123
Notice both answers equal 32,144,123
With that explanation out of the way, let's continue. Next, we take the number 32,144,123 and divide it by 2:
32,144,123 ÷ 2 = 16,072,061.5
If the quotient is a whole number, then 2 and 16,072,061.5 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 | 32,144,123 | |
| -1 | -32,144,123 |
Now, we try dividing 32,144,123 by 3:
32,144,123 ÷ 3 = 10,714,707.6667
If the quotient is a whole number, then 3 and 10,714,707.6667 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 | 32,144,123 | |
| -1 | -32,144,123 |
Let's try dividing by 4:
32,144,123 ÷ 4 = 8,036,030.75
If the quotient is a whole number, then 4 and 8,036,030.75 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 | 32,144,123 | |
| -1 | 32,144,123 |
If you did it right, you will end up with this table:
| 1 | 11 | 41 | 263 | 271 | 451 | 2,893 | 2,981 | 10,783 | 11,111 | 71,273 | 118,613 | 122,221 | 784,003 | 2,922,193 | 32,144,123 |
| -1 | -11 | -41 | -263 | -271 | -451 | -2,893 | -2,981 | -10,783 | -11,111 | -71,273 | -118,613 | -122,221 | -784,003 | -2,922,193 | -32,144,123 |
Here are some more numbers to try:
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