A:
Positive:
1 x 117143117 x 167347331 x 37788137 x 316603217 x 53983259 x 452291147 x 102131459 x 8029
Negative:
-1 x -11714311-7 x -1673473-31 x -377881-37 x -316603-217 x -53983-259 x -45229-1147 x -10213-1459 x -8029
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 11,714,311, 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 | 11,714,311 | |
| -1 | -11,714,311 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 11,714,311.
Example:
1 x 11,714,311 = 11,714,311
and
-1 x -11,714,311 = 11,714,311
Notice both answers equal 11,714,311
With that explanation out of the way, let's continue. Next, we take the number 11,714,311 and divide it by 2:
11,714,311 ÷ 2 = 5,857,155.5
If the quotient is a whole number, then 2 and 5,857,155.5 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 | 11,714,311 | |
| -1 | -11,714,311 |
Now, we try dividing 11,714,311 by 3:
11,714,311 ÷ 3 = 3,904,770.3333
If the quotient is a whole number, then 3 and 3,904,770.3333 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 | 11,714,311 | |
| -1 | -11,714,311 |
Let's try dividing by 4:
11,714,311 ÷ 4 = 2,928,577.75
If the quotient is a whole number, then 4 and 2,928,577.75 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 | 11,714,311 | |
| -1 | 11,714,311 |
If you did it right, you will end up with this table:
| 1 | 7 | 31 | 37 | 217 | 259 | 1,147 | 1,459 | 8,029 | 10,213 | 45,229 | 53,983 | 316,603 | 377,881 | 1,673,473 | 11,714,311 |
| -1 | -7 | -31 | -37 | -217 | -259 | -1,147 | -1,459 | -8,029 | -10,213 | -45,229 | -53,983 | -316,603 | -377,881 | -1,673,473 | -11,714,311 |
Here are some more numbers to try:
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