Q: What are the factor combinations of the number 50,711,711?

 A:
Positive:   1 x 5071171123 x 220485741 x 1236871943 x 53777
Negative: -1 x -50711711-23 x -2204857-41 x -1236871-943 x -53777


How do I find the factor combinations of the number 50,711,711?

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 50,711,711, 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 50,711,711
-1 -50,711,711

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 50,711,711.

Example:
1 x 50,711,711 = 50,711,711
and
-1 x -50,711,711 = 50,711,711
Notice both answers equal 50,711,711

With that explanation out of the way, let's continue. Next, we take the number 50,711,711 and divide it by 2:

50,711,711 ÷ 2 = 25,355,855.5

If the quotient is a whole number, then 2 and 25,355,855.5 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 50,711,711
-1 -50,711,711

Now, we try dividing 50,711,711 by 3:

50,711,711 ÷ 3 = 16,903,903.6667

If the quotient is a whole number, then 3 and 16,903,903.6667 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 50,711,711
-1 -50,711,711

Let's try dividing by 4:

50,711,711 ÷ 4 = 12,677,927.75

If the quotient is a whole number, then 4 and 12,677,927.75 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 50,711,711
-1 50,711,711
Keep dividing by the next highest number until you cannot divide anymore.

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

1234194353,7771,236,8712,204,85750,711,711
-1-23-41-943-53,777-1,236,871-2,204,857-50,711,711

More Examples

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