Q: What are the factor combinations of the number 231,604,043?

 A:
Positive:   1 x 23160404311 x 2105491323 x 10069741121 x 1914083253 x 9154312783 x 83221
Negative: -1 x -231604043-11 x -21054913-23 x -10069741-121 x -1914083-253 x -915431-2783 x -83221


How do I find the factor combinations of the number 231,604,043?

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 231,604,043, 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.

1 231,604,043
-1 -231,604,043

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 231,604,043.

Example:
1 x 231,604,043 = 231,604,043
and
-1 x -231,604,043 = 231,604,043
Notice both answers equal 231,604,043

With that explanation out of the way, let's continue. Next, we take the number 231,604,043 and divide it by 2:

231,604,043 ÷ 2 = 115,802,021.5

If the quotient is a whole number, then 2 and 115,802,021.5 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:

1 231,604,043
-1 -231,604,043

Now, we try dividing 231,604,043 by 3:

231,604,043 ÷ 3 = 77,201,347.6667

If the quotient is a whole number, then 3 and 77,201,347.6667 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:

1 231,604,043
-1 -231,604,043

Let's try dividing by 4:

231,604,043 ÷ 4 = 57,901,010.75

If the quotient is a whole number, then 4 and 57,901,010.75 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:

1 231,604,043
-1 231,604,043
Keep dividing by the next highest number until you cannot divide anymore.

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

111231212532,78383,221915,4311,914,08310,069,74121,054,913231,604,043
-1-11-23-121-253-2,783-83,221-915,431-1,914,083-10,069,741-21,054,913-231,604,043

More Examples

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