Q: What are the factor combinations of the number 5,011,825?

 A:
Positive:   1 x 50118255 x 10023657 x 71597513 x 38552525 x 20047335 x 14319565 x 7710591 x 55075175 x 28639325 x 15421455 x 110152203 x 2275
Negative: -1 x -5011825-5 x -1002365-7 x -715975-13 x -385525-25 x -200473-35 x -143195-65 x -77105-91 x -55075-175 x -28639-325 x -15421-455 x -11015-2203 x -2275


How do I find the factor combinations of the number 5,011,825?

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 5,011,825, 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 5,011,825
-1 -5,011,825

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 5,011,825.

Example:
1 x 5,011,825 = 5,011,825
and
-1 x -5,011,825 = 5,011,825
Notice both answers equal 5,011,825

With that explanation out of the way, let's continue. Next, we take the number 5,011,825 and divide it by 2:

5,011,825 ÷ 2 = 2,505,912.5

If the quotient is a whole number, then 2 and 2,505,912.5 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 5,011,825
-1 -5,011,825

Now, we try dividing 5,011,825 by 3:

5,011,825 ÷ 3 = 1,670,608.3333

If the quotient is a whole number, then 3 and 1,670,608.3333 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 5,011,825
-1 -5,011,825

Let's try dividing by 4:

5,011,825 ÷ 4 = 1,252,956.25

If the quotient is a whole number, then 4 and 1,252,956.25 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 5,011,825
-1 5,011,825
Keep dividing by the next highest number until you cannot divide anymore.

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

15713253565911753254552,2032,27511,01515,42128,63955,07577,105143,195200,473385,525715,9751,002,3655,011,825
-1-5-7-13-25-35-65-91-175-325-455-2,203-2,275-11,015-15,421-28,639-55,075-77,105-143,195-200,473-385,525-715,975-1,002,365-5,011,825

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