Q: What are the factor combinations of the number 181,712,365?

 A:
Positive:   1 x 1817123655 x 3634247337 x 4911145185 x 982229227 x 8004951135 x 1600994327 x 419958399 x 21635
Negative: -1 x -181712365-5 x -36342473-37 x -4911145-185 x -982229-227 x -800495-1135 x -160099-4327 x -41995-8399 x -21635


How do I find the factor combinations of the number 181,712,365?

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 181,712,365, 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.

1 181,712,365
-1 -181,712,365

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 181,712,365.

Example:
1 x 181,712,365 = 181,712,365
and
-1 x -181,712,365 = 181,712,365
Notice both answers equal 181,712,365

With that explanation out of the way, let's continue. Next, we take the number 181,712,365 and divide it by 2:

181,712,365 ÷ 2 = 90,856,182.5

If the quotient is a whole number, then 2 and 90,856,182.5 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:

1 181,712,365
-1 -181,712,365

Now, we try dividing 181,712,365 by 3:

181,712,365 ÷ 3 = 60,570,788.3333

If the quotient is a whole number, then 3 and 60,570,788.3333 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:

1 181,712,365
-1 -181,712,365

Let's try dividing by 4:

181,712,365 ÷ 4 = 45,428,091.25

If the quotient is a whole number, then 4 and 45,428,091.25 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:

1 181,712,365
-1 181,712,365
Keep dividing by the next highest number until you cannot divide anymore.

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

15371852271,1354,3278,39921,63541,995160,099800,495982,2294,911,14536,342,473181,712,365
-1-5-37-185-227-1,135-4,327-8,399-21,635-41,995-160,099-800,495-982,229-4,911,145-36,342,473-181,712,365

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