Q: What are the factor combinations of the number 23,468,809?

 A:
Positive:   1 x 234688097 x 335268713 x 180529323 x 102038391 x 257899161 x 145769299 x 784912093 x 11213
Negative: -1 x -23468809-7 x -3352687-13 x -1805293-23 x -1020383-91 x -257899-161 x -145769-299 x -78491-2093 x -11213


How do I find the factor combinations of the number 23,468,809?

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 23,468,809, 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 23,468,809
-1 -23,468,809

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 23,468,809.

Example:
1 x 23,468,809 = 23,468,809
and
-1 x -23,468,809 = 23,468,809
Notice both answers equal 23,468,809

With that explanation out of the way, let's continue. Next, we take the number 23,468,809 and divide it by 2:

23,468,809 ÷ 2 = 11,734,404.5

If the quotient is a whole number, then 2 and 11,734,404.5 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 23,468,809
-1 -23,468,809

Now, we try dividing 23,468,809 by 3:

23,468,809 ÷ 3 = 7,822,936.3333

If the quotient is a whole number, then 3 and 7,822,936.3333 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 23,468,809
-1 -23,468,809

Let's try dividing by 4:

23,468,809 ÷ 4 = 5,867,202.25

If the quotient is a whole number, then 4 and 5,867,202.25 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 23,468,809
-1 23,468,809
Keep dividing by the next highest number until you cannot divide anymore.

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

171323911612992,09311,21378,491145,769257,8991,020,3831,805,2933,352,68723,468,809
-1-7-13-23-91-161-299-2,093-11,213-78,491-145,769-257,899-1,020,383-1,805,293-3,352,687-23,468,809

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