Q: What are the factor combinations of the number 50,274,631?

 A:
Positive:   1 x 5027463111 x 457042147 x 1069673517 x 972432069 x 242992209 x 22759
Negative: -1 x -50274631-11 x -4570421-47 x -1069673-517 x -97243-2069 x -24299-2209 x -22759


How do I find the factor combinations of the number 50,274,631?

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 50,274,631, 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 50,274,631
-1 -50,274,631

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 50,274,631.

Example:
1 x 50,274,631 = 50,274,631
and
-1 x -50,274,631 = 50,274,631
Notice both answers equal 50,274,631

With that explanation out of the way, let's continue. Next, we take the number 50,274,631 and divide it by 2:

50,274,631 ÷ 2 = 25,137,315.5

If the quotient is a whole number, then 2 and 25,137,315.5 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 50,274,631
-1 -50,274,631

Now, we try dividing 50,274,631 by 3:

50,274,631 ÷ 3 = 16,758,210.3333

If the quotient is a whole number, then 3 and 16,758,210.3333 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 50,274,631
-1 -50,274,631

Let's try dividing by 4:

50,274,631 ÷ 4 = 12,568,657.75

If the quotient is a whole number, then 4 and 12,568,657.75 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 50,274,631
-1 50,274,631
Keep dividing by the next highest number until you cannot divide anymore.

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

111475172,0692,20922,75924,29997,2431,069,6734,570,42150,274,631
-1-11-47-517-2,069-2,209-22,759-24,299-97,243-1,069,673-4,570,421-50,274,631

More Examples

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