Q: What are the factor combinations of the number 85,232,135?

 A:
Positive:   1 x 852321355 x 1704642717 x 501365523 x 370574585 x 1002731115 x 741149391 x 2179851955 x 43597
Negative: -1 x -85232135-5 x -17046427-17 x -5013655-23 x -3705745-85 x -1002731-115 x -741149-391 x -217985-1955 x -43597


How do I find the factor combinations of the number 85,232,135?

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 85,232,135, 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 85,232,135
-1 -85,232,135

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 85,232,135.

Example:
1 x 85,232,135 = 85,232,135
and
-1 x -85,232,135 = 85,232,135
Notice both answers equal 85,232,135

With that explanation out of the way, let's continue. Next, we take the number 85,232,135 and divide it by 2:

85,232,135 ÷ 2 = 42,616,067.5

If the quotient is a whole number, then 2 and 42,616,067.5 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 85,232,135
-1 -85,232,135

Now, we try dividing 85,232,135 by 3:

85,232,135 ÷ 3 = 28,410,711.6667

If the quotient is a whole number, then 3 and 28,410,711.6667 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 85,232,135
-1 -85,232,135

Let's try dividing by 4:

85,232,135 ÷ 4 = 21,308,033.75

If the quotient is a whole number, then 4 and 21,308,033.75 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 85,232,135
-1 85,232,135
Keep dividing by the next highest number until you cannot divide anymore.

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

151723851153911,95543,597217,985741,1491,002,7313,705,7455,013,65517,046,42785,232,135
-1-5-17-23-85-115-391-1,955-43,597-217,985-741,149-1,002,731-3,705,745-5,013,655-17,046,427-85,232,135

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