Q: What are the factor combinations of the number 50,422,049?

 A:
Positive:   1 x 5042204923 x 219226359 x 85461173 x 690713509 x 990611357 x 371571679 x 300314307 x 11707
Negative: -1 x -50422049-23 x -2192263-59 x -854611-73 x -690713-509 x -99061-1357 x -37157-1679 x -30031-4307 x -11707


How do I find the factor combinations of the number 50,422,049?

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 50,422,049, 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 50,422,049
-1 -50,422,049

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 50,422,049.

Example:
1 x 50,422,049 = 50,422,049
and
-1 x -50,422,049 = 50,422,049
Notice both answers equal 50,422,049

With that explanation out of the way, let's continue. Next, we take the number 50,422,049 and divide it by 2:

50,422,049 ÷ 2 = 25,211,024.5

If the quotient is a whole number, then 2 and 25,211,024.5 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 50,422,049
-1 -50,422,049

Now, we try dividing 50,422,049 by 3:

50,422,049 ÷ 3 = 16,807,349.6667

If the quotient is a whole number, then 3 and 16,807,349.6667 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 50,422,049
-1 -50,422,049

Let's try dividing by 4:

50,422,049 ÷ 4 = 12,605,512.25

If the quotient is a whole number, then 4 and 12,605,512.25 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 50,422,049
-1 50,422,049
Keep dividing by the next highest number until you cannot divide anymore.

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

12359735091,3571,6794,30711,70730,03137,15799,061690,713854,6112,192,26350,422,049
-1-23-59-73-509-1,357-1,679-4,307-11,707-30,031-37,157-99,061-690,713-854,611-2,192,263-50,422,049

More Examples

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