Q: What are the factor combinations of the number 16,825,013?

 A:
Positive:   1 x 1682501319 x 88552747 x 35797983 x 202711227 x 74119893 x 188411577 x 106693901 x 4313
Negative: -1 x -16825013-19 x -885527-47 x -357979-83 x -202711-227 x -74119-893 x -18841-1577 x -10669-3901 x -4313


How do I find the factor combinations of the number 16,825,013?

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 16,825,013, 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 16,825,013
-1 -16,825,013

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 16,825,013.

Example:
1 x 16,825,013 = 16,825,013
and
-1 x -16,825,013 = 16,825,013
Notice both answers equal 16,825,013

With that explanation out of the way, let's continue. Next, we take the number 16,825,013 and divide it by 2:

16,825,013 ÷ 2 = 8,412,506.5

If the quotient is a whole number, then 2 and 8,412,506.5 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 16,825,013
-1 -16,825,013

Now, we try dividing 16,825,013 by 3:

16,825,013 ÷ 3 = 5,608,337.6667

If the quotient is a whole number, then 3 and 5,608,337.6667 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 16,825,013
-1 -16,825,013

Let's try dividing by 4:

16,825,013 ÷ 4 = 4,206,253.25

If the quotient is a whole number, then 4 and 4,206,253.25 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 16,825,013
-1 16,825,013
Keep dividing by the next highest number until you cannot divide anymore.

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

11947832278931,5773,9014,31310,66918,84174,119202,711357,979885,52716,825,013
-1-19-47-83-227-893-1,577-3,901-4,313-10,669-18,841-74,119-202,711-357,979-885,527-16,825,013

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