Q: What are the factor combinations of the number 23,440,867?

 A:
Positive:   1 x 2344086731 x 756157163 x 1438094639 x 5053
Negative: -1 x -23440867-31 x -756157-163 x -143809-4639 x -5053


How do I find the factor combinations of the number 23,440,867?

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 23,440,867, 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 23,440,867
-1 -23,440,867

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 23,440,867.

Example:
1 x 23,440,867 = 23,440,867
and
-1 x -23,440,867 = 23,440,867
Notice both answers equal 23,440,867

With that explanation out of the way, let's continue. Next, we take the number 23,440,867 and divide it by 2:

23,440,867 ÷ 2 = 11,720,433.5

If the quotient is a whole number, then 2 and 11,720,433.5 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 23,440,867
-1 -23,440,867

Now, we try dividing 23,440,867 by 3:

23,440,867 ÷ 3 = 7,813,622.3333

If the quotient is a whole number, then 3 and 7,813,622.3333 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 23,440,867
-1 -23,440,867

Let's try dividing by 4:

23,440,867 ÷ 4 = 5,860,216.75

If the quotient is a whole number, then 4 and 5,860,216.75 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 23,440,867
-1 23,440,867
Keep dividing by the next highest number until you cannot divide anymore.

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

1311634,6395,053143,809756,15723,440,867
-1-31-163-4,639-5,053-143,809-756,157-23,440,867

More Examples

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