Q: What are the factor combinations of the number 16,017,221?

 A:
Positive:   1 x 1601722111 x 145611167 x 239063103 x 155507211 x 75911737 x 217331133 x 141372321 x 6901
Negative: -1 x -16017221-11 x -1456111-67 x -239063-103 x -155507-211 x -75911-737 x -21733-1133 x -14137-2321 x -6901


How do I find the factor combinations of the number 16,017,221?

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 16,017,221, 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 16,017,221
-1 -16,017,221

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 16,017,221.

Example:
1 x 16,017,221 = 16,017,221
and
-1 x -16,017,221 = 16,017,221
Notice both answers equal 16,017,221

With that explanation out of the way, let's continue. Next, we take the number 16,017,221 and divide it by 2:

16,017,221 ÷ 2 = 8,008,610.5

If the quotient is a whole number, then 2 and 8,008,610.5 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 16,017,221
-1 -16,017,221

Now, we try dividing 16,017,221 by 3:

16,017,221 ÷ 3 = 5,339,073.6667

If the quotient is a whole number, then 3 and 5,339,073.6667 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 16,017,221
-1 -16,017,221

Let's try dividing by 4:

16,017,221 ÷ 4 = 4,004,305.25

If the quotient is a whole number, then 4 and 4,004,305.25 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 16,017,221
-1 16,017,221
Keep dividing by the next highest number until you cannot divide anymore.

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

111671032117371,1332,3216,90114,13721,73375,911155,507239,0631,456,11116,017,221
-1-11-67-103-211-737-1,133-2,321-6,901-14,137-21,733-75,911-155,507-239,063-1,456,111-16,017,221

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