Q: What are the factor combinations of the number 16,822,013?

 A:
Positive:   1 x 1682201313 x 129400137 x 45464941 x 410293481 x 34973533 x 31561853 x 197211517 x 11089
Negative: -1 x -16822013-13 x -1294001-37 x -454649-41 x -410293-481 x -34973-533 x -31561-853 x -19721-1517 x -11089


How do I find the factor combinations of the number 16,822,013?

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 16,822,013, 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 16,822,013
-1 -16,822,013

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 16,822,013.

Example:
1 x 16,822,013 = 16,822,013
and
-1 x -16,822,013 = 16,822,013
Notice both answers equal 16,822,013

With that explanation out of the way, let's continue. Next, we take the number 16,822,013 and divide it by 2:

16,822,013 ÷ 2 = 8,411,006.5

If the quotient is a whole number, then 2 and 8,411,006.5 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 16,822,013
-1 -16,822,013

Now, we try dividing 16,822,013 by 3:

16,822,013 ÷ 3 = 5,607,337.6667

If the quotient is a whole number, then 3 and 5,607,337.6667 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 16,822,013
-1 -16,822,013

Let's try dividing by 4:

16,822,013 ÷ 4 = 4,205,503.25

If the quotient is a whole number, then 4 and 4,205,503.25 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 16,822,013
-1 16,822,013
Keep dividing by the next highest number until you cannot divide anymore.

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

11337414815338531,51711,08919,72131,56134,973410,293454,6491,294,00116,822,013
-1-13-37-41-481-533-853-1,517-11,089-19,721-31,561-34,973-410,293-454,649-1,294,001-16,822,013

More Examples

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