Q: What are the factor combinations of the number 50,343,733?

 A:
Positive:   1 x 5034373311 x 457670367 x 75139983 x 606551737 x 68309823 x 61171913 x 551415561 x 9053
Negative: -1 x -50343733-11 x -4576703-67 x -751399-83 x -606551-737 x -68309-823 x -61171-913 x -55141-5561 x -9053


How do I find the factor combinations of the number 50,343,733?

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 50,343,733, 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 50,343,733
-1 -50,343,733

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 50,343,733.

Example:
1 x 50,343,733 = 50,343,733
and
-1 x -50,343,733 = 50,343,733
Notice both answers equal 50,343,733

With that explanation out of the way, let's continue. Next, we take the number 50,343,733 and divide it by 2:

50,343,733 ÷ 2 = 25,171,866.5

If the quotient is a whole number, then 2 and 25,171,866.5 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 50,343,733
-1 -50,343,733

Now, we try dividing 50,343,733 by 3:

50,343,733 ÷ 3 = 16,781,244.3333

If the quotient is a whole number, then 3 and 16,781,244.3333 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 50,343,733
-1 -50,343,733

Let's try dividing by 4:

50,343,733 ÷ 4 = 12,585,933.25

If the quotient is a whole number, then 4 and 12,585,933.25 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 50,343,733
-1 50,343,733
Keep dividing by the next highest number until you cannot divide anymore.

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

11167837378239135,5619,05355,14161,17168,309606,551751,3994,576,70350,343,733
-1-11-67-83-737-823-913-5,561-9,053-55,141-61,171-68,309-606,551-751,399-4,576,703-50,343,733

More Examples

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