Q: What are the factor combinations of the number 23,730,791?

 A:
Positive:   1 x 237307917 x 339011319 x 1248989113 x 210007133 x 178427791 x 300011579 x 150292147 x 11053
Negative: -1 x -23730791-7 x -3390113-19 x -1248989-113 x -210007-133 x -178427-791 x -30001-1579 x -15029-2147 x -11053


How do I find the factor combinations of the number 23,730,791?

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 23,730,791, 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 23,730,791
-1 -23,730,791

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 23,730,791.

Example:
1 x 23,730,791 = 23,730,791
and
-1 x -23,730,791 = 23,730,791
Notice both answers equal 23,730,791

With that explanation out of the way, let's continue. Next, we take the number 23,730,791 and divide it by 2:

23,730,791 ÷ 2 = 11,865,395.5

If the quotient is a whole number, then 2 and 11,865,395.5 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 23,730,791
-1 -23,730,791

Now, we try dividing 23,730,791 by 3:

23,730,791 ÷ 3 = 7,910,263.6667

If the quotient is a whole number, then 3 and 7,910,263.6667 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 23,730,791
-1 -23,730,791

Let's try dividing by 4:

23,730,791 ÷ 4 = 5,932,697.75

If the quotient is a whole number, then 4 and 5,932,697.75 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 23,730,791
-1 23,730,791
Keep dividing by the next highest number until you cannot divide anymore.

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

17191131337911,5792,14711,05315,02930,001178,427210,0071,248,9893,390,11323,730,791
-1-7-19-113-133-791-1,579-2,147-11,053-15,029-30,001-178,427-210,007-1,248,989-3,390,113-23,730,791

More Examples

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