Q: What are the factor combinations of the number 231,014,203?

 A:
Positive:   1 x 2310142037 x 3300202929 x 7966007203 x 1138001263 x 8783811841 x 1254834327 x 533897627 x 30289
Negative: -1 x -231014203-7 x -33002029-29 x -7966007-203 x -1138001-263 x -878381-1841 x -125483-4327 x -53389-7627 x -30289


How do I find the factor combinations of the number 231,014,203?

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 231,014,203, 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.

1 231,014,203
-1 -231,014,203

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 231,014,203.

Example:
1 x 231,014,203 = 231,014,203
and
-1 x -231,014,203 = 231,014,203
Notice both answers equal 231,014,203

With that explanation out of the way, let's continue. Next, we take the number 231,014,203 and divide it by 2:

231,014,203 ÷ 2 = 115,507,101.5

If the quotient is a whole number, then 2 and 115,507,101.5 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:

1 231,014,203
-1 -231,014,203

Now, we try dividing 231,014,203 by 3:

231,014,203 ÷ 3 = 77,004,734.3333

If the quotient is a whole number, then 3 and 77,004,734.3333 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:

1 231,014,203
-1 -231,014,203

Let's try dividing by 4:

231,014,203 ÷ 4 = 57,753,550.75

If the quotient is a whole number, then 4 and 57,753,550.75 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:

1 231,014,203
-1 231,014,203
Keep dividing by the next highest number until you cannot divide anymore.

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

17292032631,8414,3277,62730,28953,389125,483878,3811,138,0017,966,00733,002,029231,014,203
-1-7-29-203-263-1,841-4,327-7,627-30,289-53,389-125,483-878,381-1,138,001-7,966,007-33,002,029-231,014,203

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 231,014,203:


Ask a Question