Q: What are the factor combinations of the number 50,550,499?

 A:
Positive:   1 x 5055049941 x 123293943 x 117559353 x 953783541 x 934391763 x 286732173 x 232632279 x 22181
Negative: -1 x -50550499-41 x -1232939-43 x -1175593-53 x -953783-541 x -93439-1763 x -28673-2173 x -23263-2279 x -22181


How do I find the factor combinations of the number 50,550,499?

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 50,550,499, 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 50,550,499
-1 -50,550,499

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 50,550,499.

Example:
1 x 50,550,499 = 50,550,499
and
-1 x -50,550,499 = 50,550,499
Notice both answers equal 50,550,499

With that explanation out of the way, let's continue. Next, we take the number 50,550,499 and divide it by 2:

50,550,499 ÷ 2 = 25,275,249.5

If the quotient is a whole number, then 2 and 25,275,249.5 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 50,550,499
-1 -50,550,499

Now, we try dividing 50,550,499 by 3:

50,550,499 ÷ 3 = 16,850,166.3333

If the quotient is a whole number, then 3 and 16,850,166.3333 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 50,550,499
-1 -50,550,499

Let's try dividing by 4:

50,550,499 ÷ 4 = 12,637,624.75

If the quotient is a whole number, then 4 and 12,637,624.75 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 50,550,499
-1 50,550,499
Keep dividing by the next highest number until you cannot divide anymore.

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

14143535411,7632,1732,27922,18123,26328,67393,439953,7831,175,5931,232,93950,550,499
-1-41-43-53-541-1,763-2,173-2,279-22,181-23,263-28,673-93,439-953,783-1,175,593-1,232,939-50,550,499

More Examples

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