A:
Positive:
1 x 414106497 x 591580723 x 180046353 x 781333161 x 257209211 x 196259371 x 111619529 x 782811219 x 339711477 x 280373703 x 111834853 x 8533
Negative:
-1 x -41410649-7 x -5915807-23 x -1800463-53 x -781333-161 x -257209-211 x -196259-371 x -111619-529 x -78281-1219 x -33971-1477 x -28037-3703 x -11183-4853 x -8533
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 41,410,649, 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 | 41,410,649 | |
| -1 | -41,410,649 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 41,410,649.
Example:
1 x 41,410,649 = 41,410,649
and
-1 x -41,410,649 = 41,410,649
Notice both answers equal 41,410,649
With that explanation out of the way, let's continue. Next, we take the number 41,410,649 and divide it by 2:
41,410,649 ÷ 2 = 20,705,324.5
If the quotient is a whole number, then 2 and 20,705,324.5 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 | 41,410,649 | |
| -1 | -41,410,649 |
Now, we try dividing 41,410,649 by 3:
41,410,649 ÷ 3 = 13,803,549.6667
If the quotient is a whole number, then 3 and 13,803,549.6667 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 | 41,410,649 | |
| -1 | -41,410,649 |
Let's try dividing by 4:
41,410,649 ÷ 4 = 10,352,662.25
If the quotient is a whole number, then 4 and 10,352,662.25 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 | 41,410,649 | |
| -1 | 41,410,649 |
If you did it right, you will end up with this table:
| 1 | 7 | 23 | 53 | 161 | 211 | 371 | 529 | 1,219 | 1,477 | 3,703 | 4,853 | 8,533 | 11,183 | 28,037 | 33,971 | 78,281 | 111,619 | 196,259 | 257,209 | 781,333 | 1,800,463 | 5,915,807 | 41,410,649 |
| -1 | -7 | -23 | -53 | -161 | -211 | -371 | -529 | -1,219 | -1,477 | -3,703 | -4,853 | -8,533 | -11,183 | -28,037 | -33,971 | -78,281 | -111,619 | -196,259 | -257,209 | -781,333 | -1,800,463 | -5,915,807 | -41,410,649 |
Here are some more numbers to try:
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