Q: What are the factor combinations of the number 50,513,221?

 A:
Positive:   1 x 5051322111 x 459211123 x 2196227253 x 199657
Negative: -1 x -50513221-11 x -4592111-23 x -2196227-253 x -199657


How do I find the factor combinations of the number 50,513,221?

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 50,513,221, 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 50,513,221
-1 -50,513,221

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 50,513,221.

Example:
1 x 50,513,221 = 50,513,221
and
-1 x -50,513,221 = 50,513,221
Notice both answers equal 50,513,221

With that explanation out of the way, let's continue. Next, we take the number 50,513,221 and divide it by 2:

50,513,221 ÷ 2 = 25,256,610.5

If the quotient is a whole number, then 2 and 25,256,610.5 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 50,513,221
-1 -50,513,221

Now, we try dividing 50,513,221 by 3:

50,513,221 ÷ 3 = 16,837,740.3333

If the quotient is a whole number, then 3 and 16,837,740.3333 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 50,513,221
-1 -50,513,221

Let's try dividing by 4:

50,513,221 ÷ 4 = 12,628,305.25

If the quotient is a whole number, then 4 and 12,628,305.25 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 50,513,221
-1 50,513,221
Keep dividing by the next highest number until you cannot divide anymore.

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

11123253199,6572,196,2274,592,11150,513,221
-1-11-23-253-199,657-2,196,227-4,592,111-50,513,221

More Examples

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