Q: What are the factor combinations of the number 50,315,551?

 A:
Positive:   1 x 5031555111 x 457414113 x 387042729 x 1735019121 x 415831143 x 351857319 x 157729377 x 1334631103 x 456171573 x 319873509 x 143394147 x 12133
Negative: -1 x -50315551-11 x -4574141-13 x -3870427-29 x -1735019-121 x -415831-143 x -351857-319 x -157729-377 x -133463-1103 x -45617-1573 x -31987-3509 x -14339-4147 x -12133


How do I find the factor combinations of the number 50,315,551?

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 50,315,551, 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 50,315,551
-1 -50,315,551

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 50,315,551.

Example:
1 x 50,315,551 = 50,315,551
and
-1 x -50,315,551 = 50,315,551
Notice both answers equal 50,315,551

With that explanation out of the way, let's continue. Next, we take the number 50,315,551 and divide it by 2:

50,315,551 ÷ 2 = 25,157,775.5

If the quotient is a whole number, then 2 and 25,157,775.5 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 50,315,551
-1 -50,315,551

Now, we try dividing 50,315,551 by 3:

50,315,551 ÷ 3 = 16,771,850.3333

If the quotient is a whole number, then 3 and 16,771,850.3333 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 50,315,551
-1 -50,315,551

Let's try dividing by 4:

50,315,551 ÷ 4 = 12,578,887.75

If the quotient is a whole number, then 4 and 12,578,887.75 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 50,315,551
-1 50,315,551
Keep dividing by the next highest number until you cannot divide anymore.

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

11113291211433193771,1031,5733,5094,14712,13314,33931,98745,617133,463157,729351,857415,8311,735,0193,870,4274,574,14150,315,551
-1-11-13-29-121-143-319-377-1,103-1,573-3,509-4,147-12,133-14,339-31,987-45,617-133,463-157,729-351,857-415,831-1,735,019-3,870,427-4,574,141-50,315,551

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