Q: What are the factor combinations of the number 40,115,915?

 A:
Positive:   1 x 401159155 x 80231837 x 573084535 x 114616967 x 598745335 x 119749469 x 855352345 x 17107
Negative: -1 x -40115915-5 x -8023183-7 x -5730845-35 x -1146169-67 x -598745-335 x -119749-469 x -85535-2345 x -17107


How do I find the factor combinations of the number 40,115,915?

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 40,115,915, 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 40,115,915
-1 -40,115,915

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 40,115,915.

Example:
1 x 40,115,915 = 40,115,915
and
-1 x -40,115,915 = 40,115,915
Notice both answers equal 40,115,915

With that explanation out of the way, let's continue. Next, we take the number 40,115,915 and divide it by 2:

40,115,915 ÷ 2 = 20,057,957.5

If the quotient is a whole number, then 2 and 20,057,957.5 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 40,115,915
-1 -40,115,915

Now, we try dividing 40,115,915 by 3:

40,115,915 ÷ 3 = 13,371,971.6667

If the quotient is a whole number, then 3 and 13,371,971.6667 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 40,115,915
-1 -40,115,915

Let's try dividing by 4:

40,115,915 ÷ 4 = 10,028,978.75

If the quotient is a whole number, then 4 and 10,028,978.75 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 40,115,915
-1 40,115,915
Keep dividing by the next highest number until you cannot divide anymore.

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

15735673354692,34517,10785,535119,749598,7451,146,1695,730,8458,023,18340,115,915
-1-5-7-35-67-335-469-2,345-17,107-85,535-119,749-598,745-1,146,169-5,730,845-8,023,183-40,115,915

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 40,115,915:


Ask a Question