Q: What are the factor combinations of the number 168,043,085?

 A:
Positive:   1 x 1680430855 x 336086177 x 2400615535 x 480123137 x 4541705185 x 908341259 x 6488151295 x 129763
Negative: -1 x -168043085-5 x -33608617-7 x -24006155-35 x -4801231-37 x -4541705-185 x -908341-259 x -648815-1295 x -129763


How do I find the factor combinations of the number 168,043,085?

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 168,043,085, 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.

1 168,043,085
-1 -168,043,085

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 168,043,085.

Example:
1 x 168,043,085 = 168,043,085
and
-1 x -168,043,085 = 168,043,085
Notice both answers equal 168,043,085

With that explanation out of the way, let's continue. Next, we take the number 168,043,085 and divide it by 2:

168,043,085 ÷ 2 = 84,021,542.5

If the quotient is a whole number, then 2 and 84,021,542.5 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:

1 168,043,085
-1 -168,043,085

Now, we try dividing 168,043,085 by 3:

168,043,085 ÷ 3 = 56,014,361.6667

If the quotient is a whole number, then 3 and 56,014,361.6667 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:

1 168,043,085
-1 -168,043,085

Let's try dividing by 4:

168,043,085 ÷ 4 = 42,010,771.25

If the quotient is a whole number, then 4 and 42,010,771.25 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:

1 168,043,085
-1 168,043,085
Keep dividing by the next highest number until you cannot divide anymore.

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

15735371852591,295129,763648,815908,3414,541,7054,801,23124,006,15533,608,617168,043,085
-1-5-7-35-37-185-259-1,295-129,763-648,815-908,341-4,541,705-4,801,231-24,006,155-33,608,617-168,043,085

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