Q: What are the factor combinations of the number 11,423,993?

 A:
Positive:   1 x 114239937 x 163199959 x 193627139 x 82187199 x 57407413 x 27661973 x 117411393 x 8201
Negative: -1 x -11423993-7 x -1631999-59 x -193627-139 x -82187-199 x -57407-413 x -27661-973 x -11741-1393 x -8201


How do I find the factor combinations of the number 11,423,993?

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 11,423,993, 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 11,423,993
-1 -11,423,993

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 11,423,993.

Example:
1 x 11,423,993 = 11,423,993
and
-1 x -11,423,993 = 11,423,993
Notice both answers equal 11,423,993

With that explanation out of the way, let's continue. Next, we take the number 11,423,993 and divide it by 2:

11,423,993 ÷ 2 = 5,711,996.5

If the quotient is a whole number, then 2 and 5,711,996.5 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 11,423,993
-1 -11,423,993

Now, we try dividing 11,423,993 by 3:

11,423,993 ÷ 3 = 3,807,997.6667

If the quotient is a whole number, then 3 and 3,807,997.6667 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 11,423,993
-1 -11,423,993

Let's try dividing by 4:

11,423,993 ÷ 4 = 2,855,998.25

If the quotient is a whole number, then 4 and 2,855,998.25 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 11,423,993
-1 11,423,993
Keep dividing by the next highest number until you cannot divide anymore.

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

17591391994139731,3938,20111,74127,66157,40782,187193,6271,631,99911,423,993
-1-7-59-139-199-413-973-1,393-8,201-11,741-27,661-57,407-82,187-193,627-1,631,999-11,423,993

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 11,423,993:


Ask a Question