Q: What are the factor combinations of the number 50,513,155?

 A:
Positive:   1 x 505131555 x 101026317 x 721616511 x 459210535 x 144323355 x 91842177 x 656015385 x 131203
Negative: -1 x -50513155-5 x -10102631-7 x -7216165-11 x -4592105-35 x -1443233-55 x -918421-77 x -656015-385 x -131203


How do I find the factor combinations of the number 50,513,155?

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 50,513,155, 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 50,513,155
-1 -50,513,155

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 50,513,155.

Example:
1 x 50,513,155 = 50,513,155
and
-1 x -50,513,155 = 50,513,155
Notice both answers equal 50,513,155

With that explanation out of the way, let's continue. Next, we take the number 50,513,155 and divide it by 2:

50,513,155 ÷ 2 = 25,256,577.5

If the quotient is a whole number, then 2 and 25,256,577.5 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 50,513,155
-1 -50,513,155

Now, we try dividing 50,513,155 by 3:

50,513,155 ÷ 3 = 16,837,718.3333

If the quotient is a whole number, then 3 and 16,837,718.3333 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 50,513,155
-1 -50,513,155

Let's try dividing by 4:

50,513,155 ÷ 4 = 12,628,288.75

If the quotient is a whole number, then 4 and 12,628,288.75 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 50,513,155
-1 50,513,155
Keep dividing by the next highest number until you cannot divide anymore.

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

15711355577385131,203656,015918,4211,443,2334,592,1057,216,16510,102,63150,513,155
-1-5-7-11-35-55-77-385-131,203-656,015-918,421-1,443,233-4,592,105-7,216,165-10,102,631-50,513,155

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