Q: What are the factor combinations of the number 41,837,755?

 A:
Positive:   1 x 418377555 x 836755131 x 134960547 x 890165155 x 269921235 x 1780331457 x 287155743 x 7285
Negative: -1 x -41837755-5 x -8367551-31 x -1349605-47 x -890165-155 x -269921-235 x -178033-1457 x -28715-5743 x -7285


How do I find the factor combinations of the number 41,837,755?

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 41,837,755, 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 41,837,755
-1 -41,837,755

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 41,837,755.

Example:
1 x 41,837,755 = 41,837,755
and
-1 x -41,837,755 = 41,837,755
Notice both answers equal 41,837,755

With that explanation out of the way, let's continue. Next, we take the number 41,837,755 and divide it by 2:

41,837,755 ÷ 2 = 20,918,877.5

If the quotient is a whole number, then 2 and 20,918,877.5 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 41,837,755
-1 -41,837,755

Now, we try dividing 41,837,755 by 3:

41,837,755 ÷ 3 = 13,945,918.3333

If the quotient is a whole number, then 3 and 13,945,918.3333 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 41,837,755
-1 -41,837,755

Let's try dividing by 4:

41,837,755 ÷ 4 = 10,459,438.75

If the quotient is a whole number, then 4 and 10,459,438.75 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 41,837,755
-1 41,837,755
Keep dividing by the next highest number until you cannot divide anymore.

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

1531471552351,4575,7437,28528,715178,033269,921890,1651,349,6058,367,55141,837,755
-1-5-31-47-155-235-1,457-5,743-7,285-28,715-178,033-269,921-890,165-1,349,605-8,367,551-41,837,755

More Examples

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