Q: What are the factor combinations of the number 50,519,023?

 A:
Positive:   1 x 5051902337 x 136537943 x 1174861113 x 447071281 x 1797831591 x 317534181 x 120834859 x 10397
Negative: -1 x -50519023-37 x -1365379-43 x -1174861-113 x -447071-281 x -179783-1591 x -31753-4181 x -12083-4859 x -10397


How do I find the factor combinations of the number 50,519,023?

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 50,519,023, 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 50,519,023
-1 -50,519,023

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 50,519,023.

Example:
1 x 50,519,023 = 50,519,023
and
-1 x -50,519,023 = 50,519,023
Notice both answers equal 50,519,023

With that explanation out of the way, let's continue. Next, we take the number 50,519,023 and divide it by 2:

50,519,023 ÷ 2 = 25,259,511.5

If the quotient is a whole number, then 2 and 25,259,511.5 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 50,519,023
-1 -50,519,023

Now, we try dividing 50,519,023 by 3:

50,519,023 ÷ 3 = 16,839,674.3333

If the quotient is a whole number, then 3 and 16,839,674.3333 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 50,519,023
-1 -50,519,023

Let's try dividing by 4:

50,519,023 ÷ 4 = 12,629,755.75

If the quotient is a whole number, then 4 and 12,629,755.75 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 50,519,023
-1 50,519,023
Keep dividing by the next highest number until you cannot divide anymore.

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

137431132811,5914,1814,85910,39712,08331,753179,783447,0711,174,8611,365,37950,519,023
-1-37-43-113-281-1,591-4,181-4,859-10,397-12,083-31,753-179,783-447,071-1,174,861-1,365,379-50,519,023

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