Q: What are the factor combinations of the number 242,231,143?

 A:
Positive:   1 x 2422311437 x 3460444911 x 2202101377 x 314585979 x 3066217553 x 438031869 x 2787476083 x 39821
Negative: -1 x -242231143-7 x -34604449-11 x -22021013-77 x -3145859-79 x -3066217-553 x -438031-869 x -278747-6083 x -39821


How do I find the factor combinations of the number 242,231,143?

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 242,231,143, 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.

1 242,231,143
-1 -242,231,143

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 242,231,143.

Example:
1 x 242,231,143 = 242,231,143
and
-1 x -242,231,143 = 242,231,143
Notice both answers equal 242,231,143

With that explanation out of the way, let's continue. Next, we take the number 242,231,143 and divide it by 2:

242,231,143 ÷ 2 = 121,115,571.5

If the quotient is a whole number, then 2 and 121,115,571.5 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:

1 242,231,143
-1 -242,231,143

Now, we try dividing 242,231,143 by 3:

242,231,143 ÷ 3 = 80,743,714.3333

If the quotient is a whole number, then 3 and 80,743,714.3333 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:

1 242,231,143
-1 -242,231,143

Let's try dividing by 4:

242,231,143 ÷ 4 = 60,557,785.75

If the quotient is a whole number, then 4 and 60,557,785.75 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:

1 242,231,143
-1 242,231,143
Keep dividing by the next highest number until you cannot divide anymore.

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

171177795538696,08339,821278,747438,0313,066,2173,145,85922,021,01334,604,449242,231,143
-1-7-11-77-79-553-869-6,083-39,821-278,747-438,031-3,066,217-3,145,859-22,021,013-34,604,449-242,231,143

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