Q: What are the factor combinations of the number 50,272,313?

 A:
Positive:   1 x 502723137 x 718175913 x 386710191 x 552443233 x 2157611631 x 308232371 x 212033029 x 16597
Negative: -1 x -50272313-7 x -7181759-13 x -3867101-91 x -552443-233 x -215761-1631 x -30823-2371 x -21203-3029 x -16597


How do I find the factor combinations of the number 50,272,313?

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 50,272,313, 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 50,272,313
-1 -50,272,313

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 50,272,313.

Example:
1 x 50,272,313 = 50,272,313
and
-1 x -50,272,313 = 50,272,313
Notice both answers equal 50,272,313

With that explanation out of the way, let's continue. Next, we take the number 50,272,313 and divide it by 2:

50,272,313 ÷ 2 = 25,136,156.5

If the quotient is a whole number, then 2 and 25,136,156.5 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 50,272,313
-1 -50,272,313

Now, we try dividing 50,272,313 by 3:

50,272,313 ÷ 3 = 16,757,437.6667

If the quotient is a whole number, then 3 and 16,757,437.6667 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 50,272,313
-1 -50,272,313

Let's try dividing by 4:

50,272,313 ÷ 4 = 12,568,078.25

If the quotient is a whole number, then 4 and 12,568,078.25 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 50,272,313
-1 50,272,313
Keep dividing by the next highest number until you cannot divide anymore.

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

1713912331,6312,3713,02916,59721,20330,823215,761552,4433,867,1017,181,75950,272,313
-1-7-13-91-233-1,631-2,371-3,029-16,597-21,203-30,823-215,761-552,443-3,867,101-7,181,759-50,272,313

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 50,272,313:


Ask a Question