Q: What are the factor combinations of the number 50,200,073?

 A:
Positive:   1 x 502000737 x 717143911 x 456364329 x 173103777 x 651949203 x 247291319 x 1573672233 x 22481
Negative: -1 x -50200073-7 x -7171439-11 x -4563643-29 x -1731037-77 x -651949-203 x -247291-319 x -157367-2233 x -22481


How do I find the factor combinations of the number 50,200,073?

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 50,200,073, 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 50,200,073
-1 -50,200,073

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 50,200,073.

Example:
1 x 50,200,073 = 50,200,073
and
-1 x -50,200,073 = 50,200,073
Notice both answers equal 50,200,073

With that explanation out of the way, let's continue. Next, we take the number 50,200,073 and divide it by 2:

50,200,073 ÷ 2 = 25,100,036.5

If the quotient is a whole number, then 2 and 25,100,036.5 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 50,200,073
-1 -50,200,073

Now, we try dividing 50,200,073 by 3:

50,200,073 ÷ 3 = 16,733,357.6667

If the quotient is a whole number, then 3 and 16,733,357.6667 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 50,200,073
-1 -50,200,073

Let's try dividing by 4:

50,200,073 ÷ 4 = 12,550,018.25

If the quotient is a whole number, then 4 and 12,550,018.25 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 50,200,073
-1 50,200,073
Keep dividing by the next highest number until you cannot divide anymore.

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

171129772033192,23322,481157,367247,291651,9491,731,0374,563,6437,171,43950,200,073
-1-7-11-29-77-203-319-2,233-22,481-157,367-247,291-651,949-1,731,037-4,563,643-7,171,439-50,200,073

More Examples

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