Q: What are the factor combinations of the number 50,521,133?

 A:
Positive:   1 x 5052113313 x 388624119 x 265900723 x 2196571247 x 204539299 x 168967437 x 1156095681 x 8893
Negative: -1 x -50521133-13 x -3886241-19 x -2659007-23 x -2196571-247 x -204539-299 x -168967-437 x -115609-5681 x -8893


How do I find the factor combinations of the number 50,521,133?

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 50,521,133, 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 50,521,133
-1 -50,521,133

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 50,521,133.

Example:
1 x 50,521,133 = 50,521,133
and
-1 x -50,521,133 = 50,521,133
Notice both answers equal 50,521,133

With that explanation out of the way, let's continue. Next, we take the number 50,521,133 and divide it by 2:

50,521,133 ÷ 2 = 25,260,566.5

If the quotient is a whole number, then 2 and 25,260,566.5 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 50,521,133
-1 -50,521,133

Now, we try dividing 50,521,133 by 3:

50,521,133 ÷ 3 = 16,840,377.6667

If the quotient is a whole number, then 3 and 16,840,377.6667 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 50,521,133
-1 -50,521,133

Let's try dividing by 4:

50,521,133 ÷ 4 = 12,630,283.25

If the quotient is a whole number, then 4 and 12,630,283.25 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 50,521,133
-1 50,521,133
Keep dividing by the next highest number until you cannot divide anymore.

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

11319232472994375,6818,893115,609168,967204,5392,196,5712,659,0073,886,24150,521,133
-1-13-19-23-247-299-437-5,681-8,893-115,609-168,967-204,539-2,196,571-2,659,007-3,886,241-50,521,133

More Examples

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