Q: What are the factor combinations of the number 23,318,779?

 A:
Positive:   1 x 2331877911 x 2119889101 x 230879139 x 167761151 x 1544291111 x 209891529 x 152511661 x 14039
Negative: -1 x -23318779-11 x -2119889-101 x -230879-139 x -167761-151 x -154429-1111 x -20989-1529 x -15251-1661 x -14039


How do I find the factor combinations of the number 23,318,779?

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 23,318,779, 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 23,318,779
-1 -23,318,779

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 23,318,779.

Example:
1 x 23,318,779 = 23,318,779
and
-1 x -23,318,779 = 23,318,779
Notice both answers equal 23,318,779

With that explanation out of the way, let's continue. Next, we take the number 23,318,779 and divide it by 2:

23,318,779 ÷ 2 = 11,659,389.5

If the quotient is a whole number, then 2 and 11,659,389.5 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 23,318,779
-1 -23,318,779

Now, we try dividing 23,318,779 by 3:

23,318,779 ÷ 3 = 7,772,926.3333

If the quotient is a whole number, then 3 and 7,772,926.3333 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 23,318,779
-1 -23,318,779

Let's try dividing by 4:

23,318,779 ÷ 4 = 5,829,694.75

If the quotient is a whole number, then 4 and 5,829,694.75 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 23,318,779
-1 23,318,779
Keep dividing by the next highest number until you cannot divide anymore.

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

1111011391511,1111,5291,66114,03915,25120,989154,429167,761230,8792,119,88923,318,779
-1-11-101-139-151-1,111-1,529-1,661-14,039-15,251-20,989-154,429-167,761-230,879-2,119,889-23,318,779

More Examples

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