Q: What are the factor combinations of the number 41,040,659?

 A:
Positive:   1 x 4104065911 x 373096937 x 110920789 x 461131103 x 398453121 x 339179407 x 100837979 x 419211133 x 362233293 x 124633811 x 107694477 x 9167
Negative: -1 x -41040659-11 x -3730969-37 x -1109207-89 x -461131-103 x -398453-121 x -339179-407 x -100837-979 x -41921-1133 x -36223-3293 x -12463-3811 x -10769-4477 x -9167


How do I find the factor combinations of the number 41,040,659?

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 41,040,659, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

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 41,040,659
-1 -41,040,659

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 41,040,659.

Example:
1 x 41,040,659 = 41,040,659
and
-1 x -41,040,659 = 41,040,659
Notice both answers equal 41,040,659

With that explanation out of the way, let's continue. Next, we take the number 41,040,659 and divide it by 2:

41,040,659 ÷ 2 = 20,520,329.5

If the quotient is a whole number, then 2 and 20,520,329.5 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 41,040,659
-1 -41,040,659

Now, we try dividing 41,040,659 by 3:

41,040,659 ÷ 3 = 13,680,219.6667

If the quotient is a whole number, then 3 and 13,680,219.6667 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 41,040,659
-1 -41,040,659

Let's try dividing by 4:

41,040,659 ÷ 4 = 10,260,164.75

If the quotient is a whole number, then 4 and 10,260,164.75 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 41,040,659
-1 41,040,659
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

11137891031214079791,1333,2933,8114,4779,16710,76912,46336,22341,921100,837339,179398,453461,1311,109,2073,730,96941,040,659
-1-11-37-89-103-121-407-979-1,133-3,293-3,811-4,477-9,167-10,769-12,463-36,223-41,921-100,837-339,179-398,453-461,131-1,109,207-3,730,969-41,040,659

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