Q: What are the factor combinations of the number 80,500,055?

 A:
Positive:   1 x 805000555 x 1610001119 x 423684589 x 90449595 x 847369445 x 1808991691 x 476058455 x 9521
Negative: -1 x -80500055-5 x -16100011-19 x -4236845-89 x -904495-95 x -847369-445 x -180899-1691 x -47605-8455 x -9521


How do I find the factor combinations of the number 80,500,055?

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 80,500,055, 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 80,500,055
-1 -80,500,055

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 80,500,055.

Example:
1 x 80,500,055 = 80,500,055
and
-1 x -80,500,055 = 80,500,055
Notice both answers equal 80,500,055

With that explanation out of the way, let's continue. Next, we take the number 80,500,055 and divide it by 2:

80,500,055 ÷ 2 = 40,250,027.5

If the quotient is a whole number, then 2 and 40,250,027.5 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 80,500,055
-1 -80,500,055

Now, we try dividing 80,500,055 by 3:

80,500,055 ÷ 3 = 26,833,351.6667

If the quotient is a whole number, then 3 and 26,833,351.6667 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 80,500,055
-1 -80,500,055

Let's try dividing by 4:

80,500,055 ÷ 4 = 20,125,013.75

If the quotient is a whole number, then 4 and 20,125,013.75 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 80,500,055
-1 80,500,055
Keep dividing by the next highest number until you cannot divide anymore.

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

151989954451,6918,4559,52147,605180,899847,369904,4954,236,84516,100,01180,500,055
-1-5-19-89-95-445-1,691-8,455-9,521-47,605-180,899-847,369-904,495-4,236,845-16,100,011-80,500,055

More Examples

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