Q: What are the factor combinations of the number 80,555,027?

 A:
Positive:   1 x 805550277 x 1150786117 x 4738531119 x 676933151 x 5334771057 x 762112567 x 313814483 x 17969
Negative: -1 x -80555027-7 x -11507861-17 x -4738531-119 x -676933-151 x -533477-1057 x -76211-2567 x -31381-4483 x -17969


How do I find the factor combinations of the number 80,555,027?

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 80,555,027, 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 80,555,027
-1 -80,555,027

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 80,555,027.

Example:
1 x 80,555,027 = 80,555,027
and
-1 x -80,555,027 = 80,555,027
Notice both answers equal 80,555,027

With that explanation out of the way, let's continue. Next, we take the number 80,555,027 and divide it by 2:

80,555,027 ÷ 2 = 40,277,513.5

If the quotient is a whole number, then 2 and 40,277,513.5 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 80,555,027
-1 -80,555,027

Now, we try dividing 80,555,027 by 3:

80,555,027 ÷ 3 = 26,851,675.6667

If the quotient is a whole number, then 3 and 26,851,675.6667 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 80,555,027
-1 -80,555,027

Let's try dividing by 4:

80,555,027 ÷ 4 = 20,138,756.75

If the quotient is a whole number, then 4 and 20,138,756.75 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 80,555,027
-1 80,555,027
Keep dividing by the next highest number until you cannot divide anymore.

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

17171191511,0572,5674,48317,96931,38176,211533,477676,9334,738,53111,507,86180,555,027
-1-7-17-119-151-1,057-2,567-4,483-17,969-31,381-76,211-533,477-676,933-4,738,531-11,507,861-80,555,027

More Examples

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