Q: What are the factor combinations of the number 41,042,603?

 A:
Positive:   1 x 410426037 x 586322919 x 216013723 x 1784461133 x 308591161 x 254923437 x 939193059 x 13417
Negative: -1 x -41042603-7 x -5863229-19 x -2160137-23 x -1784461-133 x -308591-161 x -254923-437 x -93919-3059 x -13417


How do I find the factor combinations of the number 41,042,603?

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 41,042,603, 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 41,042,603
-1 -41,042,603

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 41,042,603.

Example:
1 x 41,042,603 = 41,042,603
and
-1 x -41,042,603 = 41,042,603
Notice both answers equal 41,042,603

With that explanation out of the way, let's continue. Next, we take the number 41,042,603 and divide it by 2:

41,042,603 ÷ 2 = 20,521,301.5

If the quotient is a whole number, then 2 and 20,521,301.5 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 41,042,603
-1 -41,042,603

Now, we try dividing 41,042,603 by 3:

41,042,603 ÷ 3 = 13,680,867.6667

If the quotient is a whole number, then 3 and 13,680,867.6667 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 41,042,603
-1 -41,042,603

Let's try dividing by 4:

41,042,603 ÷ 4 = 10,260,650.75

If the quotient is a whole number, then 4 and 10,260,650.75 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 41,042,603
-1 41,042,603
Keep dividing by the next highest number until you cannot divide anymore.

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

1719231331614373,05913,41793,919254,923308,5911,784,4612,160,1375,863,22941,042,603
-1-7-19-23-133-161-437-3,059-13,417-93,919-254,923-308,591-1,784,461-2,160,137-5,863,229-41,042,603

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