Q: What are the factor combinations of the number 23,661,869?

 A:
Positive:   1 x 236618697 x 338026711 x 215107977 x 307297487 x 48587631 x 374993409 x 69414417 x 5357
Negative: -1 x -23661869-7 x -3380267-11 x -2151079-77 x -307297-487 x -48587-631 x -37499-3409 x -6941-4417 x -5357


How do I find the factor combinations of the number 23,661,869?

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 23,661,869, 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 23,661,869
-1 -23,661,869

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 23,661,869.

Example:
1 x 23,661,869 = 23,661,869
and
-1 x -23,661,869 = 23,661,869
Notice both answers equal 23,661,869

With that explanation out of the way, let's continue. Next, we take the number 23,661,869 and divide it by 2:

23,661,869 ÷ 2 = 11,830,934.5

If the quotient is a whole number, then 2 and 11,830,934.5 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 23,661,869
-1 -23,661,869

Now, we try dividing 23,661,869 by 3:

23,661,869 ÷ 3 = 7,887,289.6667

If the quotient is a whole number, then 3 and 7,887,289.6667 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 23,661,869
-1 -23,661,869

Let's try dividing by 4:

23,661,869 ÷ 4 = 5,915,467.25

If the quotient is a whole number, then 4 and 5,915,467.25 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 23,661,869
-1 23,661,869
Keep dividing by the next highest number until you cannot divide anymore.

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

1711774876313,4094,4175,3576,94137,49948,587307,2972,151,0793,380,26723,661,869
-1-7-11-77-487-631-3,409-4,417-5,357-6,941-37,499-48,587-307,297-2,151,079-3,380,267-23,661,869

More Examples

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