Q: What are the factor combinations of the number 50,750,021?

 A:
Positive:   1 x 507500217 x 725000367 x 757463241 x 210581449 x 113029469 x 1082091687 x 300833143 x 16147
Negative: -1 x -50750021-7 x -7250003-67 x -757463-241 x -210581-449 x -113029-469 x -108209-1687 x -30083-3143 x -16147


How do I find the factor combinations of the number 50,750,021?

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 50,750,021, 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 50,750,021
-1 -50,750,021

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 50,750,021.

Example:
1 x 50,750,021 = 50,750,021
and
-1 x -50,750,021 = 50,750,021
Notice both answers equal 50,750,021

With that explanation out of the way, let's continue. Next, we take the number 50,750,021 and divide it by 2:

50,750,021 ÷ 2 = 25,375,010.5

If the quotient is a whole number, then 2 and 25,375,010.5 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 50,750,021
-1 -50,750,021

Now, we try dividing 50,750,021 by 3:

50,750,021 ÷ 3 = 16,916,673.6667

If the quotient is a whole number, then 3 and 16,916,673.6667 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 50,750,021
-1 -50,750,021

Let's try dividing by 4:

50,750,021 ÷ 4 = 12,687,505.25

If the quotient is a whole number, then 4 and 12,687,505.25 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 50,750,021
-1 50,750,021
Keep dividing by the next highest number until you cannot divide anymore.

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

17672414494691,6873,14316,14730,083108,209113,029210,581757,4637,250,00350,750,021
-1-7-67-241-449-469-1,687-3,143-16,147-30,083-108,209-113,029-210,581-757,463-7,250,003-50,750,021

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