Q: What are the factor combinations of the number 332,006,185?

 A:
Positive:   1 x 3320061855 x 664012377 x 4742945535 x 94858912221 x 1494854271 x 7773511105 x 2989715547 x 21355
Negative: -1 x -332006185-5 x -66401237-7 x -47429455-35 x -9485891-2221 x -149485-4271 x -77735-11105 x -29897-15547 x -21355


How do I find the factor combinations of the number 332,006,185?

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 332,006,185, 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.

1 332,006,185
-1 -332,006,185

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 332,006,185.

Example:
1 x 332,006,185 = 332,006,185
and
-1 x -332,006,185 = 332,006,185
Notice both answers equal 332,006,185

With that explanation out of the way, let's continue. Next, we take the number 332,006,185 and divide it by 2:

332,006,185 ÷ 2 = 166,003,092.5

If the quotient is a whole number, then 2 and 166,003,092.5 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:

1 332,006,185
-1 -332,006,185

Now, we try dividing 332,006,185 by 3:

332,006,185 ÷ 3 = 110,668,728.3333

If the quotient is a whole number, then 3 and 110,668,728.3333 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:

1 332,006,185
-1 -332,006,185

Let's try dividing by 4:

332,006,185 ÷ 4 = 83,001,546.25

If the quotient is a whole number, then 4 and 83,001,546.25 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:

1 332,006,185
-1 332,006,185
Keep dividing by the next highest number until you cannot divide anymore.

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

157352,2214,27111,10515,54721,35529,89777,735149,4859,485,89147,429,45566,401,237332,006,185
-1-5-7-35-2,221-4,271-11,105-15,547-21,355-29,897-77,735-149,485-9,485,891-47,429,455-66,401,237-332,006,185

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