Q: What are the factor combinations of the number 233,665,165?

 A:
Positive:   1 x 2336651655 x 4673303323 x 10159355115 x 2031871241 x 9695651205 x 1939135543 x 421558431 x 27715
Negative: -1 x -233665165-5 x -46733033-23 x -10159355-115 x -2031871-241 x -969565-1205 x -193913-5543 x -42155-8431 x -27715


How do I find the factor combinations of the number 233,665,165?

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 233,665,165, 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.

1 233,665,165
-1 -233,665,165

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 233,665,165.

Example:
1 x 233,665,165 = 233,665,165
and
-1 x -233,665,165 = 233,665,165
Notice both answers equal 233,665,165

With that explanation out of the way, let's continue. Next, we take the number 233,665,165 and divide it by 2:

233,665,165 ÷ 2 = 116,832,582.5

If the quotient is a whole number, then 2 and 116,832,582.5 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:

1 233,665,165
-1 -233,665,165

Now, we try dividing 233,665,165 by 3:

233,665,165 ÷ 3 = 77,888,388.3333

If the quotient is a whole number, then 3 and 77,888,388.3333 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:

1 233,665,165
-1 -233,665,165

Let's try dividing by 4:

233,665,165 ÷ 4 = 58,416,291.25

If the quotient is a whole number, then 4 and 58,416,291.25 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:

1 233,665,165
-1 233,665,165
Keep dividing by the next highest number until you cannot divide anymore.

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

15231152411,2055,5438,43127,71542,155193,913969,5652,031,87110,159,35546,733,033233,665,165
-1-5-23-115-241-1,205-5,543-8,431-27,715-42,155-193,913-969,565-2,031,871-10,159,355-46,733,033-233,665,165

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