Q: What are the factor combinations of the number 178,991,755?

 A:
Positive:   1 x 1789917555 x 3579835137 x 4837615185 x 967523811 x 2207051193 x 1500354055 x 441415965 x 30007
Negative: -1 x -178991755-5 x -35798351-37 x -4837615-185 x -967523-811 x -220705-1193 x -150035-4055 x -44141-5965 x -30007


How do I find the factor combinations of the number 178,991,755?

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 178,991,755, 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.

1 178,991,755
-1 -178,991,755

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 178,991,755.

Example:
1 x 178,991,755 = 178,991,755
and
-1 x -178,991,755 = 178,991,755
Notice both answers equal 178,991,755

With that explanation out of the way, let's continue. Next, we take the number 178,991,755 and divide it by 2:

178,991,755 ÷ 2 = 89,495,877.5

If the quotient is a whole number, then 2 and 89,495,877.5 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:

1 178,991,755
-1 -178,991,755

Now, we try dividing 178,991,755 by 3:

178,991,755 ÷ 3 = 59,663,918.3333

If the quotient is a whole number, then 3 and 59,663,918.3333 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:

1 178,991,755
-1 -178,991,755

Let's try dividing by 4:

178,991,755 ÷ 4 = 44,747,938.75

If the quotient is a whole number, then 4 and 44,747,938.75 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:

1 178,991,755
-1 178,991,755
Keep dividing by the next highest number until you cannot divide anymore.

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

15371858111,1934,0555,96530,00744,141150,035220,705967,5234,837,61535,798,351178,991,755
-1-5-37-185-811-1,193-4,055-5,965-30,007-44,141-150,035-220,705-967,523-4,837,615-35,798,351-178,991,755

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