A:
Positive:
1 x 4110634131 x 132601147 x 87460389 x 461869317 x 1296731457 x 282132759 x 148994183 x 9827
Negative:
-1 x -41106341-31 x -1326011-47 x -874603-89 x -461869-317 x -129673-1457 x -28213-2759 x -14899-4183 x -9827
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 41,106,341, 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 | 41,106,341 | |
| -1 | -41,106,341 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 41,106,341.
Example:
1 x 41,106,341 = 41,106,341
and
-1 x -41,106,341 = 41,106,341
Notice both answers equal 41,106,341
With that explanation out of the way, let's continue. Next, we take the number 41,106,341 and divide it by 2:
41,106,341 ÷ 2 = 20,553,170.5
If the quotient is a whole number, then 2 and 20,553,170.5 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 | 41,106,341 | |
| -1 | -41,106,341 |
Now, we try dividing 41,106,341 by 3:
41,106,341 ÷ 3 = 13,702,113.6667
If the quotient is a whole number, then 3 and 13,702,113.6667 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 | 41,106,341 | |
| -1 | -41,106,341 |
Let's try dividing by 4:
41,106,341 ÷ 4 = 10,276,585.25
If the quotient is a whole number, then 4 and 10,276,585.25 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 | 41,106,341 | |
| -1 | 41,106,341 |
If you did it right, you will end up with this table:
| 1 | 31 | 47 | 89 | 317 | 1,457 | 2,759 | 4,183 | 9,827 | 14,899 | 28,213 | 129,673 | 461,869 | 874,603 | 1,326,011 | 41,106,341 |
| -1 | -31 | -47 | -89 | -317 | -1,457 | -2,759 | -4,183 | -9,827 | -14,899 | -28,213 | -129,673 | -461,869 | -874,603 | -1,326,011 | -41,106,341 |
Here are some more numbers to try:
Try the factor calculator