Q: What are the factor combinations of the number 50,884,199?

 A:
Positive:   1 x 50884199131 x 388429163 x 3121732383 x 21353
Negative: -1 x -50884199-131 x -388429-163 x -312173-2383 x -21353


How do I find the factor combinations of the number 50,884,199?

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 50,884,199, 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 50,884,199
-1 -50,884,199

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 50,884,199.

Example:
1 x 50,884,199 = 50,884,199
and
-1 x -50,884,199 = 50,884,199
Notice both answers equal 50,884,199

With that explanation out of the way, let's continue. Next, we take the number 50,884,199 and divide it by 2:

50,884,199 ÷ 2 = 25,442,099.5

If the quotient is a whole number, then 2 and 25,442,099.5 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 50,884,199
-1 -50,884,199

Now, we try dividing 50,884,199 by 3:

50,884,199 ÷ 3 = 16,961,399.6667

If the quotient is a whole number, then 3 and 16,961,399.6667 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 50,884,199
-1 -50,884,199

Let's try dividing by 4:

50,884,199 ÷ 4 = 12,721,049.75

If the quotient is a whole number, then 4 and 12,721,049.75 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 50,884,199
-1 50,884,199
Keep dividing by the next highest number until you cannot divide anymore.

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

11311632,38321,353312,173388,42950,884,199
-1-131-163-2,383-21,353-312,173-388,429-50,884,199

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 50,884,199:


Ask a Question