Q: What are the factor combinations of the number 50,708,405?

 A:
Positive:   1 x 507084055 x 1014168111 x 460985531 x 163575555 x 921971155 x 327151341 x 1487051705 x 29741
Negative: -1 x -50708405-5 x -10141681-11 x -4609855-31 x -1635755-55 x -921971-155 x -327151-341 x -148705-1705 x -29741


How do I find the factor combinations of the number 50,708,405?

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 50,708,405, 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 50,708,405
-1 -50,708,405

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 50,708,405.

Example:
1 x 50,708,405 = 50,708,405
and
-1 x -50,708,405 = 50,708,405
Notice both answers equal 50,708,405

With that explanation out of the way, let's continue. Next, we take the number 50,708,405 and divide it by 2:

50,708,405 ÷ 2 = 25,354,202.5

If the quotient is a whole number, then 2 and 25,354,202.5 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 50,708,405
-1 -50,708,405

Now, we try dividing 50,708,405 by 3:

50,708,405 ÷ 3 = 16,902,801.6667

If the quotient is a whole number, then 3 and 16,902,801.6667 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 50,708,405
-1 -50,708,405

Let's try dividing by 4:

50,708,405 ÷ 4 = 12,677,101.25

If the quotient is a whole number, then 4 and 12,677,101.25 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 50,708,405
-1 50,708,405
Keep dividing by the next highest number until you cannot divide anymore.

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

151131551553411,70529,741148,705327,151921,9711,635,7554,609,85510,141,68150,708,405
-1-5-11-31-55-155-341-1,705-29,741-148,705-327,151-921,971-1,635,755-4,609,855-10,141,681-50,708,405

More Examples

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