Q: What are the factor combinations of the number 231,218,273?

 A:
Positive:   1 x 23121827311 x 2101984313 x 1778602167 x 3451019143 x 1616911737 x 313729871 x 2654639581 x 24133
Negative: -1 x -231218273-11 x -21019843-13 x -17786021-67 x -3451019-143 x -1616911-737 x -313729-871 x -265463-9581 x -24133


How do I find the factor combinations of the number 231,218,273?

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 231,218,273, 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.

1 231,218,273
-1 -231,218,273

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 231,218,273.

Example:
1 x 231,218,273 = 231,218,273
and
-1 x -231,218,273 = 231,218,273
Notice both answers equal 231,218,273

With that explanation out of the way, let's continue. Next, we take the number 231,218,273 and divide it by 2:

231,218,273 ÷ 2 = 115,609,136.5

If the quotient is a whole number, then 2 and 115,609,136.5 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:

1 231,218,273
-1 -231,218,273

Now, we try dividing 231,218,273 by 3:

231,218,273 ÷ 3 = 77,072,757.6667

If the quotient is a whole number, then 3 and 77,072,757.6667 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:

1 231,218,273
-1 -231,218,273

Let's try dividing by 4:

231,218,273 ÷ 4 = 57,804,568.25

If the quotient is a whole number, then 4 and 57,804,568.25 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:

1 231,218,273
-1 231,218,273
Keep dividing by the next highest number until you cannot divide anymore.

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

11113671437378719,58124,133265,463313,7291,616,9113,451,01917,786,02121,019,843231,218,273
-1-11-13-67-143-737-871-9,581-24,133-265,463-313,729-1,616,911-3,451,019-17,786,021-21,019,843-231,218,273

More Examples

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