Q: What are the factor combinations of the number 231,240,203?

 A:
Positive:   1 x 23124020319 x 1217053761 x 3790823127 x 18207891159 x 1995171571 x 1471932413 x 958317747 x 29849
Negative: -1 x -231240203-19 x -12170537-61 x -3790823-127 x -1820789-1159 x -199517-1571 x -147193-2413 x -95831-7747 x -29849


How do I find the factor combinations of the number 231,240,203?

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 231,240,203, 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.

1 231,240,203
-1 -231,240,203

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 231,240,203.

Example:
1 x 231,240,203 = 231,240,203
and
-1 x -231,240,203 = 231,240,203
Notice both answers equal 231,240,203

With that explanation out of the way, let's continue. Next, we take the number 231,240,203 and divide it by 2:

231,240,203 ÷ 2 = 115,620,101.5

If the quotient is a whole number, then 2 and 115,620,101.5 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:

1 231,240,203
-1 -231,240,203

Now, we try dividing 231,240,203 by 3:

231,240,203 ÷ 3 = 77,080,067.6667

If the quotient is a whole number, then 3 and 77,080,067.6667 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:

1 231,240,203
-1 -231,240,203

Let's try dividing by 4:

231,240,203 ÷ 4 = 57,810,050.75

If the quotient is a whole number, then 4 and 57,810,050.75 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:

1 231,240,203
-1 231,240,203
Keep dividing by the next highest number until you cannot divide anymore.

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

119611271,1591,5712,4137,74729,84995,831147,193199,5171,820,7893,790,82312,170,537231,240,203
-1-19-61-127-1,159-1,571-2,413-7,747-29,849-95,831-147,193-199,517-1,820,789-3,790,823-12,170,537-231,240,203

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