Q: What are the factor combinations of the number 50,170,043?

 A:
Positive:   1 x 501700437 x 716714911 x 456091317 x 295117977 x 651559119 x 421597187 x 2682891309 x 38327
Negative: -1 x -50170043-7 x -7167149-11 x -4560913-17 x -2951179-77 x -651559-119 x -421597-187 x -268289-1309 x -38327


How do I find the factor combinations of the number 50,170,043?

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 50,170,043, 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 50,170,043
-1 -50,170,043

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 50,170,043.

Example:
1 x 50,170,043 = 50,170,043
and
-1 x -50,170,043 = 50,170,043
Notice both answers equal 50,170,043

With that explanation out of the way, let's continue. Next, we take the number 50,170,043 and divide it by 2:

50,170,043 ÷ 2 = 25,085,021.5

If the quotient is a whole number, then 2 and 25,085,021.5 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 50,170,043
-1 -50,170,043

Now, we try dividing 50,170,043 by 3:

50,170,043 ÷ 3 = 16,723,347.6667

If the quotient is a whole number, then 3 and 16,723,347.6667 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 50,170,043
-1 -50,170,043

Let's try dividing by 4:

50,170,043 ÷ 4 = 12,542,510.75

If the quotient is a whole number, then 4 and 12,542,510.75 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 50,170,043
-1 50,170,043
Keep dividing by the next highest number until you cannot divide anymore.

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

171117771191871,30938,327268,289421,597651,5592,951,1794,560,9137,167,14950,170,043
-1-7-11-17-77-119-187-1,309-38,327-268,289-421,597-651,559-2,951,179-4,560,913-7,167,149-50,170,043

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