Q: What are the factor combinations of the number 50,421,835?

 A:
Positive:   1 x 504218355 x 1008436747 x 1072805235 x 214561
Negative: -1 x -50421835-5 x -10084367-47 x -1072805-235 x -214561


How do I find the factor combinations of the number 50,421,835?

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 50,421,835, 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 50,421,835
-1 -50,421,835

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 50,421,835.

Example:
1 x 50,421,835 = 50,421,835
and
-1 x -50,421,835 = 50,421,835
Notice both answers equal 50,421,835

With that explanation out of the way, let's continue. Next, we take the number 50,421,835 and divide it by 2:

50,421,835 ÷ 2 = 25,210,917.5

If the quotient is a whole number, then 2 and 25,210,917.5 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 50,421,835
-1 -50,421,835

Now, we try dividing 50,421,835 by 3:

50,421,835 ÷ 3 = 16,807,278.3333

If the quotient is a whole number, then 3 and 16,807,278.3333 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 50,421,835
-1 -50,421,835

Let's try dividing by 4:

50,421,835 ÷ 4 = 12,605,458.75

If the quotient is a whole number, then 4 and 12,605,458.75 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 50,421,835
-1 50,421,835
Keep dividing by the next highest number until you cannot divide anymore.

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

1547235214,5611,072,80510,084,36750,421,835
-1-5-47-235-214,561-1,072,805-10,084,367-50,421,835

More Examples

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