Q: What are the factor combinations of the number 233,872,015?

 A:
Positive:   1 x 2338720155 x 4677440313 x 1799015565 x 3598031137 x 1707095685 x 3414191781 x 1313158905 x 26263
Negative: -1 x -233872015-5 x -46774403-13 x -17990155-65 x -3598031-137 x -1707095-685 x -341419-1781 x -131315-8905 x -26263


How do I find the factor combinations of the number 233,872,015?

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 233,872,015, 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.

1 233,872,015
-1 -233,872,015

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 233,872,015.

Example:
1 x 233,872,015 = 233,872,015
and
-1 x -233,872,015 = 233,872,015
Notice both answers equal 233,872,015

With that explanation out of the way, let's continue. Next, we take the number 233,872,015 and divide it by 2:

233,872,015 ÷ 2 = 116,936,007.5

If the quotient is a whole number, then 2 and 116,936,007.5 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:

1 233,872,015
-1 -233,872,015

Now, we try dividing 233,872,015 by 3:

233,872,015 ÷ 3 = 77,957,338.3333

If the quotient is a whole number, then 3 and 77,957,338.3333 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:

1 233,872,015
-1 -233,872,015

Let's try dividing by 4:

233,872,015 ÷ 4 = 58,468,003.75

If the quotient is a whole number, then 4 and 58,468,003.75 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:

1 233,872,015
-1 233,872,015
Keep dividing by the next highest number until you cannot divide anymore.

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

1513651376851,7818,90526,263131,315341,4191,707,0953,598,03117,990,15546,774,403233,872,015
-1-5-13-65-137-685-1,781-8,905-26,263-131,315-341,419-1,707,095-3,598,031-17,990,155-46,774,403-233,872,015

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