Q: What are the factor combinations of the number 388,711,085?

 A:
Positive:   1 x 3887110855 x 777422177 x 5553015535 x 1110603137 x 10505705185 x 2101141259 x 15008151295 x 300163
Negative: -1 x -388711085-5 x -77742217-7 x -55530155-35 x -11106031-37 x -10505705-185 x -2101141-259 x -1500815-1295 x -300163


How do I find the factor combinations of the number 388,711,085?

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 388,711,085, 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.

1 388,711,085
-1 -388,711,085

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 388,711,085.

Example:
1 x 388,711,085 = 388,711,085
and
-1 x -388,711,085 = 388,711,085
Notice both answers equal 388,711,085

With that explanation out of the way, let's continue. Next, we take the number 388,711,085 and divide it by 2:

388,711,085 ÷ 2 = 194,355,542.5

If the quotient is a whole number, then 2 and 194,355,542.5 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:

1 388,711,085
-1 -388,711,085

Now, we try dividing 388,711,085 by 3:

388,711,085 ÷ 3 = 129,570,361.6667

If the quotient is a whole number, then 3 and 129,570,361.6667 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:

1 388,711,085
-1 -388,711,085

Let's try dividing by 4:

388,711,085 ÷ 4 = 97,177,771.25

If the quotient is a whole number, then 4 and 97,177,771.25 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:

1 388,711,085
-1 388,711,085
Keep dividing by the next highest number until you cannot divide anymore.

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

15735371852591,295300,1631,500,8152,101,14110,505,70511,106,03155,530,15577,742,217388,711,085
-1-5-7-35-37-185-259-1,295-300,163-1,500,815-2,101,141-10,505,705-11,106,031-55,530,155-77,742,217-388,711,085

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