Q: What are the factor combinations of the number 231,442,043?

 A:
Positive:   1 x 2314420437 x 3306314949 x 472330753 x 4366831371 x 6238332597 x 89119
Negative: -1 x -231442043-7 x -33063149-49 x -4723307-53 x -4366831-371 x -623833-2597 x -89119


How do I find the factor combinations of the number 231,442,043?

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 231,442,043, 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.

1 231,442,043
-1 -231,442,043

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 231,442,043.

Example:
1 x 231,442,043 = 231,442,043
and
-1 x -231,442,043 = 231,442,043
Notice both answers equal 231,442,043

With that explanation out of the way, let's continue. Next, we take the number 231,442,043 and divide it by 2:

231,442,043 ÷ 2 = 115,721,021.5

If the quotient is a whole number, then 2 and 115,721,021.5 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:

1 231,442,043
-1 -231,442,043

Now, we try dividing 231,442,043 by 3:

231,442,043 ÷ 3 = 77,147,347.6667

If the quotient is a whole number, then 3 and 77,147,347.6667 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:

1 231,442,043
-1 -231,442,043

Let's try dividing by 4:

231,442,043 ÷ 4 = 57,860,510.75

If the quotient is a whole number, then 4 and 57,860,510.75 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:

1 231,442,043
-1 231,442,043
Keep dividing by the next highest number until you cannot divide anymore.

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

1749533712,59789,119623,8334,366,8314,723,30733,063,149231,442,043
-1-7-49-53-371-2,597-89,119-623,833-4,366,831-4,723,307-33,063,149-231,442,043

More Examples

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