A:
Positive:
1 x 4100666911 x 372787917 x 2412157103 x 398123187 x 2192871133 x 361931751 x 234192129 x 19261
Negative:
-1 x -41006669-11 x -3727879-17 x -2412157-103 x -398123-187 x -219287-1133 x -36193-1751 x -23419-2129 x -19261
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 41,006,669, 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 | 41,006,669 | |
| -1 | -41,006,669 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 41,006,669.
Example:
1 x 41,006,669 = 41,006,669
and
-1 x -41,006,669 = 41,006,669
Notice both answers equal 41,006,669
With that explanation out of the way, let's continue. Next, we take the number 41,006,669 and divide it by 2:
41,006,669 ÷ 2 = 20,503,334.5
If the quotient is a whole number, then 2 and 20,503,334.5 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 | 41,006,669 | |
| -1 | -41,006,669 |
Now, we try dividing 41,006,669 by 3:
41,006,669 ÷ 3 = 13,668,889.6667
If the quotient is a whole number, then 3 and 13,668,889.6667 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 | 41,006,669 | |
| -1 | -41,006,669 |
Let's try dividing by 4:
41,006,669 ÷ 4 = 10,251,667.25
If the quotient is a whole number, then 4 and 10,251,667.25 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 | 41,006,669 | |
| -1 | 41,006,669 |
If you did it right, you will end up with this table:
| 1 | 11 | 17 | 103 | 187 | 1,133 | 1,751 | 2,129 | 19,261 | 23,419 | 36,193 | 219,287 | 398,123 | 2,412,157 | 3,727,879 | 41,006,669 |
| -1 | -11 | -17 | -103 | -187 | -1,133 | -1,751 | -2,129 | -19,261 | -23,419 | -36,193 | -219,287 | -398,123 | -2,412,157 | -3,727,879 | -41,006,669 |
Here are some more numbers to try:
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