Q: What are the factor combinations of the number 50,202,467?

 A:
Positive:   1 x 502024677 x 717178171 x 70707783 x 604849497 x 101011581 x 864071217 x 412515893 x 8519
Negative: -1 x -50202467-7 x -7171781-71 x -707077-83 x -604849-497 x -101011-581 x -86407-1217 x -41251-5893 x -8519


How do I find the factor combinations of the number 50,202,467?

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 50,202,467, 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 50,202,467
-1 -50,202,467

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 50,202,467.

Example:
1 x 50,202,467 = 50,202,467
and
-1 x -50,202,467 = 50,202,467
Notice both answers equal 50,202,467

With that explanation out of the way, let's continue. Next, we take the number 50,202,467 and divide it by 2:

50,202,467 ÷ 2 = 25,101,233.5

If the quotient is a whole number, then 2 and 25,101,233.5 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 50,202,467
-1 -50,202,467

Now, we try dividing 50,202,467 by 3:

50,202,467 ÷ 3 = 16,734,155.6667

If the quotient is a whole number, then 3 and 16,734,155.6667 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 50,202,467
-1 -50,202,467

Let's try dividing by 4:

50,202,467 ÷ 4 = 12,550,616.75

If the quotient is a whole number, then 4 and 12,550,616.75 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 50,202,467
-1 50,202,467
Keep dividing by the next highest number until you cannot divide anymore.

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

1771834975811,2175,8938,51941,25186,407101,011604,849707,0777,171,78150,202,467
-1-7-71-83-497-581-1,217-5,893-8,519-41,251-86,407-101,011-604,849-707,077-7,171,781-50,202,467

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