Q: What are the factor combinations of the number 50,162,623?

 A:
Positive:   1 x 501626237 x 716608949 x 1023727409 x 1226472503 x 200412863 x 17521
Negative: -1 x -50162623-7 x -7166089-49 x -1023727-409 x -122647-2503 x -20041-2863 x -17521


How do I find the factor combinations of the number 50,162,623?

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 50,162,623, 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 50,162,623
-1 -50,162,623

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 50,162,623.

Example:
1 x 50,162,623 = 50,162,623
and
-1 x -50,162,623 = 50,162,623
Notice both answers equal 50,162,623

With that explanation out of the way, let's continue. Next, we take the number 50,162,623 and divide it by 2:

50,162,623 ÷ 2 = 25,081,311.5

If the quotient is a whole number, then 2 and 25,081,311.5 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 50,162,623
-1 -50,162,623

Now, we try dividing 50,162,623 by 3:

50,162,623 ÷ 3 = 16,720,874.3333

If the quotient is a whole number, then 3 and 16,720,874.3333 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 50,162,623
-1 -50,162,623

Let's try dividing by 4:

50,162,623 ÷ 4 = 12,540,655.75

If the quotient is a whole number, then 4 and 12,540,655.75 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 50,162,623
-1 50,162,623
Keep dividing by the next highest number until you cannot divide anymore.

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

17494092,5032,86317,52120,041122,6471,023,7277,166,08950,162,623
-1-7-49-409-2,503-2,863-17,521-20,041-122,647-1,023,727-7,166,089-50,162,623

More Examples

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