Q: What are the factor combinations of the number 16,800,233?

 A:
Positive:   1 x 1680023317 x 98824931 x 54194371 x 236623449 x 37417527 x 318791207 x 139192201 x 7633
Negative: -1 x -16800233-17 x -988249-31 x -541943-71 x -236623-449 x -37417-527 x -31879-1207 x -13919-2201 x -7633


How do I find the factor combinations of the number 16,800,233?

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 16,800,233, 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 16,800,233
-1 -16,800,233

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 16,800,233.

Example:
1 x 16,800,233 = 16,800,233
and
-1 x -16,800,233 = 16,800,233
Notice both answers equal 16,800,233

With that explanation out of the way, let's continue. Next, we take the number 16,800,233 and divide it by 2:

16,800,233 ÷ 2 = 8,400,116.5

If the quotient is a whole number, then 2 and 8,400,116.5 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 16,800,233
-1 -16,800,233

Now, we try dividing 16,800,233 by 3:

16,800,233 ÷ 3 = 5,600,077.6667

If the quotient is a whole number, then 3 and 5,600,077.6667 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 16,800,233
-1 -16,800,233

Let's try dividing by 4:

16,800,233 ÷ 4 = 4,200,058.25

If the quotient is a whole number, then 4 and 4,200,058.25 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 16,800,233
-1 16,800,233
Keep dividing by the next highest number until you cannot divide anymore.

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

11731714495271,2072,2017,63313,91931,87937,417236,623541,943988,24916,800,233
-1-17-31-71-449-527-1,207-2,201-7,633-13,919-31,879-37,417-236,623-541,943-988,249-16,800,233

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