Q: What are the factor combinations of the number 50,213,117?

 A:
Positive:   1 x 5021311723 x 218317971 x 70722797 x 517661317 x 1584011633 x 307492231 x 225076887 x 7291
Negative: -1 x -50213117-23 x -2183179-71 x -707227-97 x -517661-317 x -158401-1633 x -30749-2231 x -22507-6887 x -7291


How do I find the factor combinations of the number 50,213,117?

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 50,213,117, 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 50,213,117
-1 -50,213,117

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 50,213,117.

Example:
1 x 50,213,117 = 50,213,117
and
-1 x -50,213,117 = 50,213,117
Notice both answers equal 50,213,117

With that explanation out of the way, let's continue. Next, we take the number 50,213,117 and divide it by 2:

50,213,117 ÷ 2 = 25,106,558.5

If the quotient is a whole number, then 2 and 25,106,558.5 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 50,213,117
-1 -50,213,117

Now, we try dividing 50,213,117 by 3:

50,213,117 ÷ 3 = 16,737,705.6667

If the quotient is a whole number, then 3 and 16,737,705.6667 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 50,213,117
-1 -50,213,117

Let's try dividing by 4:

50,213,117 ÷ 4 = 12,553,279.25

If the quotient is a whole number, then 4 and 12,553,279.25 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 50,213,117
-1 50,213,117
Keep dividing by the next highest number until you cannot divide anymore.

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

12371973171,6332,2316,8877,29122,50730,749158,401517,661707,2272,183,17950,213,117
-1-23-71-97-317-1,633-2,231-6,887-7,291-22,507-30,749-158,401-517,661-707,227-2,183,179-50,213,117

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