A:
Positive:
1 x 1031125711 x 93738761 x 169037121 x 85217127 x 81191671 x 153671331 x 77471397 x 7381
Negative:
-1 x -10311257-11 x -937387-61 x -169037-121 x -85217-127 x -81191-671 x -15367-1331 x -7747-1397 x -7381
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 10,311,257, 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 | 10,311,257 | |
| -1 | -10,311,257 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 10,311,257.
Example:
1 x 10,311,257 = 10,311,257
and
-1 x -10,311,257 = 10,311,257
Notice both answers equal 10,311,257
With that explanation out of the way, let's continue. Next, we take the number 10,311,257 and divide it by 2:
10,311,257 ÷ 2 = 5,155,628.5
If the quotient is a whole number, then 2 and 5,155,628.5 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 | 10,311,257 | |
| -1 | -10,311,257 |
Now, we try dividing 10,311,257 by 3:
10,311,257 ÷ 3 = 3,437,085.6667
If the quotient is a whole number, then 3 and 3,437,085.6667 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 | 10,311,257 | |
| -1 | -10,311,257 |
Let's try dividing by 4:
10,311,257 ÷ 4 = 2,577,814.25
If the quotient is a whole number, then 4 and 2,577,814.25 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 | 10,311,257 | |
| -1 | 10,311,257 |
If you did it right, you will end up with this table:
| 1 | 11 | 61 | 121 | 127 | 671 | 1,331 | 1,397 | 7,381 | 7,747 | 15,367 | 81,191 | 85,217 | 169,037 | 937,387 | 10,311,257 |
| -1 | -11 | -61 | -121 | -127 | -671 | -1,331 | -1,397 | -7,381 | -7,747 | -15,367 | -81,191 | -85,217 | -169,037 | -937,387 | -10,311,257 |
Here are some more numbers to try:
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