Q: What are the factor combinations of the number 17,873,165?

 A:
Positive:   1 x 178731655 x 357463343 x 41565559 x 302935215 x 83131295 x 605871409 x 126852537 x 7045
Negative: -1 x -17873165-5 x -3574633-43 x -415655-59 x -302935-215 x -83131-295 x -60587-1409 x -12685-2537 x -7045


How do I find the factor combinations of the number 17,873,165?

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 17,873,165, 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 17,873,165
-1 -17,873,165

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 17,873,165.

Example:
1 x 17,873,165 = 17,873,165
and
-1 x -17,873,165 = 17,873,165
Notice both answers equal 17,873,165

With that explanation out of the way, let's continue. Next, we take the number 17,873,165 and divide it by 2:

17,873,165 ÷ 2 = 8,936,582.5

If the quotient is a whole number, then 2 and 8,936,582.5 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 17,873,165
-1 -17,873,165

Now, we try dividing 17,873,165 by 3:

17,873,165 ÷ 3 = 5,957,721.6667

If the quotient is a whole number, then 3 and 5,957,721.6667 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 17,873,165
-1 -17,873,165

Let's try dividing by 4:

17,873,165 ÷ 4 = 4,468,291.25

If the quotient is a whole number, then 4 and 4,468,291.25 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 17,873,165
-1 17,873,165
Keep dividing by the next highest number until you cannot divide anymore.

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

1543592152951,4092,5377,04512,68560,58783,131302,935415,6553,574,63317,873,165
-1-5-43-59-215-295-1,409-2,537-7,045-12,685-60,587-83,131-302,935-415,655-3,574,633-17,873,165

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