Q: What are the factor combinations of the number 231,123,235?

 A:
Positive:   1 x 2311232355 x 462246477 x 3301760535 x 66035211129 x 2047155645 x 409435849 x 395157903 x 29245
Negative: -1 x -231123235-5 x -46224647-7 x -33017605-35 x -6603521-1129 x -204715-5645 x -40943-5849 x -39515-7903 x -29245


How do I find the factor combinations of the number 231,123,235?

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 231,123,235, 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.

1 231,123,235
-1 -231,123,235

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 231,123,235.

Example:
1 x 231,123,235 = 231,123,235
and
-1 x -231,123,235 = 231,123,235
Notice both answers equal 231,123,235

With that explanation out of the way, let's continue. Next, we take the number 231,123,235 and divide it by 2:

231,123,235 ÷ 2 = 115,561,617.5

If the quotient is a whole number, then 2 and 115,561,617.5 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:

1 231,123,235
-1 -231,123,235

Now, we try dividing 231,123,235 by 3:

231,123,235 ÷ 3 = 77,041,078.3333

If the quotient is a whole number, then 3 and 77,041,078.3333 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:

1 231,123,235
-1 -231,123,235

Let's try dividing by 4:

231,123,235 ÷ 4 = 57,780,808.75

If the quotient is a whole number, then 4 and 57,780,808.75 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:

1 231,123,235
-1 231,123,235
Keep dividing by the next highest number until you cannot divide anymore.

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

157351,1295,6455,8497,90329,24539,51540,943204,7156,603,52133,017,60546,224,647231,123,235
-1-5-7-35-1,129-5,645-5,849-7,903-29,245-39,515-40,943-204,715-6,603,521-33,017,605-46,224,647-231,123,235

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