Q: What are the factor combinations of the number 32,032,055?

 A:
Positive:   1 x 320320555 x 640641111 x 291200555 x 582401107 x 299365535 x 598731177 x 272155443 x 5885
Negative: -1 x -32032055-5 x -6406411-11 x -2912005-55 x -582401-107 x -299365-535 x -59873-1177 x -27215-5443 x -5885


How do I find the factor combinations of the number 32,032,055?

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 32,032,055, 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 32,032,055
-1 -32,032,055

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 32,032,055.

Example:
1 x 32,032,055 = 32,032,055
and
-1 x -32,032,055 = 32,032,055
Notice both answers equal 32,032,055

With that explanation out of the way, let's continue. Next, we take the number 32,032,055 and divide it by 2:

32,032,055 ÷ 2 = 16,016,027.5

If the quotient is a whole number, then 2 and 16,016,027.5 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 32,032,055
-1 -32,032,055

Now, we try dividing 32,032,055 by 3:

32,032,055 ÷ 3 = 10,677,351.6667

If the quotient is a whole number, then 3 and 10,677,351.6667 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 32,032,055
-1 -32,032,055

Let's try dividing by 4:

32,032,055 ÷ 4 = 8,008,013.75

If the quotient is a whole number, then 4 and 8,008,013.75 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 32,032,055
-1 32,032,055
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551075351,1775,4435,88527,21559,873299,365582,4012,912,0056,406,41132,032,055
-1-5-11-55-107-535-1,177-5,443-5,885-27,215-59,873-299,365-582,401-2,912,005-6,406,411-32,032,055

More Examples

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