Q: What are the factor combinations of the number 80,391,383?

 A:
Positive:   1 x 8039138371 x 1132273709 x 1133871597 x 50339
Negative: -1 x -80391383-71 x -1132273-709 x -113387-1597 x -50339


How do I find the factor combinations of the number 80,391,383?

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 80,391,383, 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 80,391,383
-1 -80,391,383

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 80,391,383.

Example:
1 x 80,391,383 = 80,391,383
and
-1 x -80,391,383 = 80,391,383
Notice both answers equal 80,391,383

With that explanation out of the way, let's continue. Next, we take the number 80,391,383 and divide it by 2:

80,391,383 ÷ 2 = 40,195,691.5

If the quotient is a whole number, then 2 and 40,195,691.5 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 80,391,383
-1 -80,391,383

Now, we try dividing 80,391,383 by 3:

80,391,383 ÷ 3 = 26,797,127.6667

If the quotient is a whole number, then 3 and 26,797,127.6667 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 80,391,383
-1 -80,391,383

Let's try dividing by 4:

80,391,383 ÷ 4 = 20,097,845.75

If the quotient is a whole number, then 4 and 20,097,845.75 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 80,391,383
-1 80,391,383
Keep dividing by the next highest number until you cannot divide anymore.

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

1717091,59750,339113,3871,132,27380,391,383
-1-71-709-1,597-50,339-113,387-1,132,273-80,391,383

More Examples

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