Q: What are the factor combinations of the number 50,350,055?

 A:
Positive:   1 x 503500555 x 100700117 x 719286535 x 1438573223 x 2257851115 x 451571561 x 322556451 x 7805
Negative: -1 x -50350055-5 x -10070011-7 x -7192865-35 x -1438573-223 x -225785-1115 x -45157-1561 x -32255-6451 x -7805


How do I find the factor combinations of the number 50,350,055?

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 50,350,055, 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 50,350,055
-1 -50,350,055

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 50,350,055.

Example:
1 x 50,350,055 = 50,350,055
and
-1 x -50,350,055 = 50,350,055
Notice both answers equal 50,350,055

With that explanation out of the way, let's continue. Next, we take the number 50,350,055 and divide it by 2:

50,350,055 ÷ 2 = 25,175,027.5

If the quotient is a whole number, then 2 and 25,175,027.5 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 50,350,055
-1 -50,350,055

Now, we try dividing 50,350,055 by 3:

50,350,055 ÷ 3 = 16,783,351.6667

If the quotient is a whole number, then 3 and 16,783,351.6667 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 50,350,055
-1 -50,350,055

Let's try dividing by 4:

50,350,055 ÷ 4 = 12,587,513.75

If the quotient is a whole number, then 4 and 12,587,513.75 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 50,350,055
-1 50,350,055
Keep dividing by the next highest number until you cannot divide anymore.

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

157352231,1151,5616,4517,80532,25545,157225,7851,438,5737,192,86510,070,01150,350,055
-1-5-7-35-223-1,115-1,561-6,451-7,805-32,255-45,157-225,785-1,438,573-7,192,865-10,070,011-50,350,055

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