Q: What are the factor combinations of the number 41,188,367?

 A:
Positive:   1 x 4118836711 x 374439731 x 132865743 x 95786953 x 777139341 x 120787473 x 87079583 x 706491333 x 308991643 x 250692279 x 180732809 x 14663
Negative: -1 x -41188367-11 x -3744397-31 x -1328657-43 x -957869-53 x -777139-341 x -120787-473 x -87079-583 x -70649-1333 x -30899-1643 x -25069-2279 x -18073-2809 x -14663


How do I find the factor combinations of the number 41,188,367?

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 41,188,367, 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 41,188,367
-1 -41,188,367

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 41,188,367.

Example:
1 x 41,188,367 = 41,188,367
and
-1 x -41,188,367 = 41,188,367
Notice both answers equal 41,188,367

With that explanation out of the way, let's continue. Next, we take the number 41,188,367 and divide it by 2:

41,188,367 ÷ 2 = 20,594,183.5

If the quotient is a whole number, then 2 and 20,594,183.5 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 41,188,367
-1 -41,188,367

Now, we try dividing 41,188,367 by 3:

41,188,367 ÷ 3 = 13,729,455.6667

If the quotient is a whole number, then 3 and 13,729,455.6667 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 41,188,367
-1 -41,188,367

Let's try dividing by 4:

41,188,367 ÷ 4 = 10,297,091.75

If the quotient is a whole number, then 4 and 10,297,091.75 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 41,188,367
-1 41,188,367
Keep dividing by the next highest number until you cannot divide anymore.

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

1113143533414735831,3331,6432,2792,80914,66318,07325,06930,89970,64987,079120,787777,139957,8691,328,6573,744,39741,188,367
-1-11-31-43-53-341-473-583-1,333-1,643-2,279-2,809-14,663-18,073-25,069-30,899-70,649-87,079-120,787-777,139-957,869-1,328,657-3,744,397-41,188,367

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 41,188,367:


Ask a Question