Q: What are the factor combinations of the number 23,006,687?

 A:
Positive:   1 x 2300668711 x 209151783 x 277189113 x 203599223 x 103169913 x 251991243 x 185092453 x 9379
Negative: -1 x -23006687-11 x -2091517-83 x -277189-113 x -203599-223 x -103169-913 x -25199-1243 x -18509-2453 x -9379


How do I find the factor combinations of the number 23,006,687?

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 23,006,687, 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 23,006,687
-1 -23,006,687

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 23,006,687.

Example:
1 x 23,006,687 = 23,006,687
and
-1 x -23,006,687 = 23,006,687
Notice both answers equal 23,006,687

With that explanation out of the way, let's continue. Next, we take the number 23,006,687 and divide it by 2:

23,006,687 ÷ 2 = 11,503,343.5

If the quotient is a whole number, then 2 and 11,503,343.5 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 23,006,687
-1 -23,006,687

Now, we try dividing 23,006,687 by 3:

23,006,687 ÷ 3 = 7,668,895.6667

If the quotient is a whole number, then 3 and 7,668,895.6667 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 23,006,687
-1 -23,006,687

Let's try dividing by 4:

23,006,687 ÷ 4 = 5,751,671.75

If the quotient is a whole number, then 4 and 5,751,671.75 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 23,006,687
-1 23,006,687
Keep dividing by the next highest number until you cannot divide anymore.

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

111831132239131,2432,4539,37918,50925,199103,169203,599277,1892,091,51723,006,687
-1-11-83-113-223-913-1,243-2,453-9,379-18,509-25,199-103,169-203,599-277,189-2,091,517-23,006,687

More Examples

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