Q: What are the factor combinations of the number 16,016,221?

 A:
Positive:   1 x 1601622113 x 123201719 x 84295961 x 262561247 x 64843793 x 201971063 x 150671159 x 13819
Negative: -1 x -16016221-13 x -1232017-19 x -842959-61 x -262561-247 x -64843-793 x -20197-1063 x -15067-1159 x -13819


How do I find the factor combinations of the number 16,016,221?

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 16,016,221, 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 16,016,221
-1 -16,016,221

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 16,016,221.

Example:
1 x 16,016,221 = 16,016,221
and
-1 x -16,016,221 = 16,016,221
Notice both answers equal 16,016,221

With that explanation out of the way, let's continue. Next, we take the number 16,016,221 and divide it by 2:

16,016,221 ÷ 2 = 8,008,110.5

If the quotient is a whole number, then 2 and 8,008,110.5 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 16,016,221
-1 -16,016,221

Now, we try dividing 16,016,221 by 3:

16,016,221 ÷ 3 = 5,338,740.3333

If the quotient is a whole number, then 3 and 5,338,740.3333 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 16,016,221
-1 -16,016,221

Let's try dividing by 4:

16,016,221 ÷ 4 = 4,004,055.25

If the quotient is a whole number, then 4 and 4,004,055.25 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 16,016,221
-1 16,016,221
Keep dividing by the next highest number until you cannot divide anymore.

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

11319612477931,0631,15913,81915,06720,19764,843262,561842,9591,232,01716,016,221
-1-13-19-61-247-793-1,063-1,159-13,819-15,067-20,197-64,843-262,561-842,959-1,232,017-16,016,221

More Examples

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