Q: What are the factor combinations of the number 16,621,165?

 A:
Positive:   1 x 166211655 x 332423311 x 151101555 x 30220383 x 200255121 x 137365331 x 50215415 x 40051605 x 27473913 x 182051655 x 100433641 x 4565
Negative: -1 x -16621165-5 x -3324233-11 x -1511015-55 x -302203-83 x -200255-121 x -137365-331 x -50215-415 x -40051-605 x -27473-913 x -18205-1655 x -10043-3641 x -4565


How do I find the factor combinations of the number 16,621,165?

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 16,621,165, 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 16,621,165
-1 -16,621,165

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 16,621,165.

Example:
1 x 16,621,165 = 16,621,165
and
-1 x -16,621,165 = 16,621,165
Notice both answers equal 16,621,165

With that explanation out of the way, let's continue. Next, we take the number 16,621,165 and divide it by 2:

16,621,165 ÷ 2 = 8,310,582.5

If the quotient is a whole number, then 2 and 8,310,582.5 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 16,621,165
-1 -16,621,165

Now, we try dividing 16,621,165 by 3:

16,621,165 ÷ 3 = 5,540,388.3333

If the quotient is a whole number, then 3 and 5,540,388.3333 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 16,621,165
-1 -16,621,165

Let's try dividing by 4:

16,621,165 ÷ 4 = 4,155,291.25

If the quotient is a whole number, then 4 and 4,155,291.25 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 16,621,165
-1 16,621,165
Keep dividing by the next highest number until you cannot divide anymore.

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

151155831213314156059131,6553,6414,56510,04318,20527,47340,05150,215137,365200,255302,2031,511,0153,324,23316,621,165
-1-5-11-55-83-121-331-415-605-913-1,655-3,641-4,565-10,043-18,205-27,473-40,051-50,215-137,365-200,255-302,203-1,511,015-3,324,233-16,621,165

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