Q: What are the factor combinations of the number 50,042,011?

 A:
Positive:   1 x 5004201173 x 685507461 x 1085511487 x 33653
Negative: -1 x -50042011-73 x -685507-461 x -108551-1487 x -33653


How do I find the factor combinations of the number 50,042,011?

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 50,042,011, 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 50,042,011
-1 -50,042,011

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 50,042,011.

Example:
1 x 50,042,011 = 50,042,011
and
-1 x -50,042,011 = 50,042,011
Notice both answers equal 50,042,011

With that explanation out of the way, let's continue. Next, we take the number 50,042,011 and divide it by 2:

50,042,011 ÷ 2 = 25,021,005.5

If the quotient is a whole number, then 2 and 25,021,005.5 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 50,042,011
-1 -50,042,011

Now, we try dividing 50,042,011 by 3:

50,042,011 ÷ 3 = 16,680,670.3333

If the quotient is a whole number, then 3 and 16,680,670.3333 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 50,042,011
-1 -50,042,011

Let's try dividing by 4:

50,042,011 ÷ 4 = 12,510,502.75

If the quotient is a whole number, then 4 and 12,510,502.75 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 50,042,011
-1 50,042,011
Keep dividing by the next highest number until you cannot divide anymore.

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

1734611,48733,653108,551685,50750,042,011
-1-73-461-1,487-33,653-108,551-685,507-50,042,011

More Examples

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