Q: What are the factor combinations of the number 231,055,435?

 A:
Positive:   1 x 2310554355 x 4621108713 x 1777349565 x 35546991153 x 2003953083 x 749455765 x 4007914989 x 15415
Negative: -1 x -231055435-5 x -46211087-13 x -17773495-65 x -3554699-1153 x -200395-3083 x -74945-5765 x -40079-14989 x -15415


How do I find the factor combinations of the number 231,055,435?

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 231,055,435, 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.

1 231,055,435
-1 -231,055,435

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 231,055,435.

Example:
1 x 231,055,435 = 231,055,435
and
-1 x -231,055,435 = 231,055,435
Notice both answers equal 231,055,435

With that explanation out of the way, let's continue. Next, we take the number 231,055,435 and divide it by 2:

231,055,435 ÷ 2 = 115,527,717.5

If the quotient is a whole number, then 2 and 115,527,717.5 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:

1 231,055,435
-1 -231,055,435

Now, we try dividing 231,055,435 by 3:

231,055,435 ÷ 3 = 77,018,478.3333

If the quotient is a whole number, then 3 and 77,018,478.3333 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:

1 231,055,435
-1 -231,055,435

Let's try dividing by 4:

231,055,435 ÷ 4 = 57,763,858.75

If the quotient is a whole number, then 4 and 57,763,858.75 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:

1 231,055,435
-1 231,055,435
Keep dividing by the next highest number until you cannot divide anymore.

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

1513651,1533,0835,76514,98915,41540,07974,945200,3953,554,69917,773,49546,211,087231,055,435
-1-5-13-65-1,153-3,083-5,765-14,989-15,415-40,079-74,945-200,395-3,554,699-17,773,495-46,211,087-231,055,435

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 231,055,435:


Ask a Question