A:
Positive:
1 x 10131212311 x 921019319 x 533221731 x 3268133209 x 484747341 x 297103361 x 280643589 x 172007823 x 1231013971 x 255136479 x 156379053 x 11191
Negative:
-1 x -101312123-11 x -9210193-19 x -5332217-31 x -3268133-209 x -484747-341 x -297103-361 x -280643-589 x -172007-823 x -123101-3971 x -25513-6479 x -15637-9053 x -11191
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 101,312,123, 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 | 101,312,123 | |
| -1 | -101,312,123 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 101,312,123.
Example:
1 x 101,312,123 = 101,312,123
and
-1 x -101,312,123 = 101,312,123
Notice both answers equal 101,312,123
With that explanation out of the way, let's continue. Next, we take the number 101,312,123 and divide it by 2:
101,312,123 ÷ 2 = 50,656,061.5
If the quotient is a whole number, then 2 and 50,656,061.5 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 | 101,312,123 | |
| -1 | -101,312,123 |
Now, we try dividing 101,312,123 by 3:
101,312,123 ÷ 3 = 33,770,707.6667
If the quotient is a whole number, then 3 and 33,770,707.6667 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 | 101,312,123 | |
| -1 | -101,312,123 |
Let's try dividing by 4:
101,312,123 ÷ 4 = 25,328,030.75
If the quotient is a whole number, then 4 and 25,328,030.75 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 | 101,312,123 | |
| -1 | 101,312,123 |
If you did it right, you will end up with this table:
| 1 | 11 | 19 | 31 | 209 | 341 | 361 | 589 | 823 | 3,971 | 6,479 | 9,053 | 11,191 | 15,637 | 25,513 | 123,101 | 172,007 | 280,643 | 297,103 | 484,747 | 3,268,133 | 5,332,217 | 9,210,193 | 101,312,123 |
| -1 | -11 | -19 | -31 | -209 | -341 | -361 | -589 | -823 | -3,971 | -6,479 | -9,053 | -11,191 | -15,637 | -25,513 | -123,101 | -172,007 | -280,643 | -297,103 | -484,747 | -3,268,133 | -5,332,217 | -9,210,193 | -101,312,123 |
Here are some more numbers to try:
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