Q: What are the factor combinations of the number 50,165,507?

 A:
Positive:   1 x 501655077 x 716650123 x 218110953 x 946519161 x 311587371 x 1352171219 x 411535879 x 8533
Negative: -1 x -50165507-7 x -7166501-23 x -2181109-53 x -946519-161 x -311587-371 x -135217-1219 x -41153-5879 x -8533


How do I find the factor combinations of the number 50,165,507?

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 50,165,507, 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 50,165,507
-1 -50,165,507

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 50,165,507.

Example:
1 x 50,165,507 = 50,165,507
and
-1 x -50,165,507 = 50,165,507
Notice both answers equal 50,165,507

With that explanation out of the way, let's continue. Next, we take the number 50,165,507 and divide it by 2:

50,165,507 ÷ 2 = 25,082,753.5

If the quotient is a whole number, then 2 and 25,082,753.5 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 50,165,507
-1 -50,165,507

Now, we try dividing 50,165,507 by 3:

50,165,507 ÷ 3 = 16,721,835.6667

If the quotient is a whole number, then 3 and 16,721,835.6667 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 50,165,507
-1 -50,165,507

Let's try dividing by 4:

50,165,507 ÷ 4 = 12,541,376.75

If the quotient is a whole number, then 4 and 12,541,376.75 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 50,165,507
-1 50,165,507
Keep dividing by the next highest number until you cannot divide anymore.

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

1723531613711,2195,8798,53341,153135,217311,587946,5192,181,1097,166,50150,165,507
-1-7-23-53-161-371-1,219-5,879-8,533-41,153-135,217-311,587-946,519-2,181,109-7,166,501-50,165,507

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