Q: What are the factor combinations of the number 23,336,735?

 A:
Positive:   1 x 233367355 x 466734729 x 804715145 x 160943227 x 102805709 x 329151135 x 205613545 x 6583
Negative: -1 x -23336735-5 x -4667347-29 x -804715-145 x -160943-227 x -102805-709 x -32915-1135 x -20561-3545 x -6583


How do I find the factor combinations of the number 23,336,735?

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 23,336,735, 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 23,336,735
-1 -23,336,735

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 23,336,735.

Example:
1 x 23,336,735 = 23,336,735
and
-1 x -23,336,735 = 23,336,735
Notice both answers equal 23,336,735

With that explanation out of the way, let's continue. Next, we take the number 23,336,735 and divide it by 2:

23,336,735 ÷ 2 = 11,668,367.5

If the quotient is a whole number, then 2 and 11,668,367.5 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 23,336,735
-1 -23,336,735

Now, we try dividing 23,336,735 by 3:

23,336,735 ÷ 3 = 7,778,911.6667

If the quotient is a whole number, then 3 and 7,778,911.6667 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 23,336,735
-1 -23,336,735

Let's try dividing by 4:

23,336,735 ÷ 4 = 5,834,183.75

If the quotient is a whole number, then 4 and 5,834,183.75 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 23,336,735
-1 23,336,735
Keep dividing by the next highest number until you cannot divide anymore.

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

15291452277091,1353,5456,58320,56132,915102,805160,943804,7154,667,34723,336,735
-1-5-29-145-227-709-1,135-3,545-6,583-20,561-32,915-102,805-160,943-804,715-4,667,347-23,336,735

More Examples

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