Q: What are the factor combinations of the number 233,222,015?

 A:
Positive:   1 x 2332220155 x 4664440313 x 1794015565 x 3588031107 x 2179645535 x 4359291391 x 1676656955 x 33533
Negative: -1 x -233222015-5 x -46644403-13 x -17940155-65 x -3588031-107 x -2179645-535 x -435929-1391 x -167665-6955 x -33533


How do I find the factor combinations of the number 233,222,015?

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 233,222,015, 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.

1 233,222,015
-1 -233,222,015

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 233,222,015.

Example:
1 x 233,222,015 = 233,222,015
and
-1 x -233,222,015 = 233,222,015
Notice both answers equal 233,222,015

With that explanation out of the way, let's continue. Next, we take the number 233,222,015 and divide it by 2:

233,222,015 ÷ 2 = 116,611,007.5

If the quotient is a whole number, then 2 and 116,611,007.5 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:

1 233,222,015
-1 -233,222,015

Now, we try dividing 233,222,015 by 3:

233,222,015 ÷ 3 = 77,740,671.6667

If the quotient is a whole number, then 3 and 77,740,671.6667 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:

1 233,222,015
-1 -233,222,015

Let's try dividing by 4:

233,222,015 ÷ 4 = 58,305,503.75

If the quotient is a whole number, then 4 and 58,305,503.75 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:

1 233,222,015
-1 233,222,015
Keep dividing by the next highest number until you cannot divide anymore.

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

1513651075351,3916,95533,533167,665435,9292,179,6453,588,03117,940,15546,644,403233,222,015
-1-5-13-65-107-535-1,391-6,955-33,533-167,665-435,929-2,179,645-3,588,031-17,940,155-46,644,403-233,222,015

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