Q: What are the factor combinations of the number 16,223,441?

 A:
Positive:   1 x 1622344113 x 124795723 x 70536729 x 559429299 x 54259377 x 43033667 x 243231871 x 8671
Negative: -1 x -16223441-13 x -1247957-23 x -705367-29 x -559429-299 x -54259-377 x -43033-667 x -24323-1871 x -8671


How do I find the factor combinations of the number 16,223,441?

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 16,223,441, 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 16,223,441
-1 -16,223,441

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 16,223,441.

Example:
1 x 16,223,441 = 16,223,441
and
-1 x -16,223,441 = 16,223,441
Notice both answers equal 16,223,441

With that explanation out of the way, let's continue. Next, we take the number 16,223,441 and divide it by 2:

16,223,441 ÷ 2 = 8,111,720.5

If the quotient is a whole number, then 2 and 8,111,720.5 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 16,223,441
-1 -16,223,441

Now, we try dividing 16,223,441 by 3:

16,223,441 ÷ 3 = 5,407,813.6667

If the quotient is a whole number, then 3 and 5,407,813.6667 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 16,223,441
-1 -16,223,441

Let's try dividing by 4:

16,223,441 ÷ 4 = 4,055,860.25

If the quotient is a whole number, then 4 and 4,055,860.25 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 16,223,441
-1 16,223,441
Keep dividing by the next highest number until you cannot divide anymore.

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

11323292993776671,8718,67124,32343,03354,259559,429705,3671,247,95716,223,441
-1-13-23-29-299-377-667-1,871-8,671-24,323-43,033-54,259-559,429-705,367-1,247,957-16,223,441

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