Q: What are the factor combinations of the number 50,330,425?

 A:
Positive:   1 x 503304255 x 1006608525 x 201321743 x 1170475215 x 2340951075 x 46819
Negative: -1 x -50330425-5 x -10066085-25 x -2013217-43 x -1170475-215 x -234095-1075 x -46819


How do I find the factor combinations of the number 50,330,425?

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 50,330,425, 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 50,330,425
-1 -50,330,425

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 50,330,425.

Example:
1 x 50,330,425 = 50,330,425
and
-1 x -50,330,425 = 50,330,425
Notice both answers equal 50,330,425

With that explanation out of the way, let's continue. Next, we take the number 50,330,425 and divide it by 2:

50,330,425 ÷ 2 = 25,165,212.5

If the quotient is a whole number, then 2 and 25,165,212.5 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 50,330,425
-1 -50,330,425

Now, we try dividing 50,330,425 by 3:

50,330,425 ÷ 3 = 16,776,808.3333

If the quotient is a whole number, then 3 and 16,776,808.3333 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 50,330,425
-1 -50,330,425

Let's try dividing by 4:

50,330,425 ÷ 4 = 12,582,606.25

If the quotient is a whole number, then 4 and 12,582,606.25 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 50,330,425
-1 50,330,425
Keep dividing by the next highest number until you cannot divide anymore.

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

1525432151,07546,819234,0951,170,4752,013,21710,066,08550,330,425
-1-5-25-43-215-1,075-46,819-234,095-1,170,475-2,013,217-10,066,085-50,330,425

More Examples

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