Q: What are the factor combinations of the number 50,513,023?

 A:
Positive:   1 x 5051302311 x 4592093121 x 417463157 x 3217391727 x 292492659 x 18997
Negative: -1 x -50513023-11 x -4592093-121 x -417463-157 x -321739-1727 x -29249-2659 x -18997


How do I find the factor combinations of the number 50,513,023?

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 50,513,023, 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 50,513,023
-1 -50,513,023

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 50,513,023.

Example:
1 x 50,513,023 = 50,513,023
and
-1 x -50,513,023 = 50,513,023
Notice both answers equal 50,513,023

With that explanation out of the way, let's continue. Next, we take the number 50,513,023 and divide it by 2:

50,513,023 ÷ 2 = 25,256,511.5

If the quotient is a whole number, then 2 and 25,256,511.5 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 50,513,023
-1 -50,513,023

Now, we try dividing 50,513,023 by 3:

50,513,023 ÷ 3 = 16,837,674.3333

If the quotient is a whole number, then 3 and 16,837,674.3333 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 50,513,023
-1 -50,513,023

Let's try dividing by 4:

50,513,023 ÷ 4 = 12,628,255.75

If the quotient is a whole number, then 4 and 12,628,255.75 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 50,513,023
-1 50,513,023
Keep dividing by the next highest number until you cannot divide anymore.

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

1111211571,7272,65918,99729,249321,739417,4634,592,09350,513,023
-1-11-121-157-1,727-2,659-18,997-29,249-321,739-417,463-4,592,093-50,513,023

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