Q: What are the factor combinations of the number 233,443,423?

 A:
Positive:   1 x 23344342331 x 7530433103 x 2266441113 x 2065871647 x 3608093193 x 731113503 x 6664111639 x 20057
Negative: -1 x -233443423-31 x -7530433-103 x -2266441-113 x -2065871-647 x -360809-3193 x -73111-3503 x -66641-11639 x -20057


How do I find the factor combinations of the number 233,443,423?

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 233,443,423, 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.

1 233,443,423
-1 -233,443,423

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 233,443,423.

Example:
1 x 233,443,423 = 233,443,423
and
-1 x -233,443,423 = 233,443,423
Notice both answers equal 233,443,423

With that explanation out of the way, let's continue. Next, we take the number 233,443,423 and divide it by 2:

233,443,423 ÷ 2 = 116,721,711.5

If the quotient is a whole number, then 2 and 116,721,711.5 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:

1 233,443,423
-1 -233,443,423

Now, we try dividing 233,443,423 by 3:

233,443,423 ÷ 3 = 77,814,474.3333

If the quotient is a whole number, then 3 and 77,814,474.3333 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:

1 233,443,423
-1 -233,443,423

Let's try dividing by 4:

233,443,423 ÷ 4 = 58,360,855.75

If the quotient is a whole number, then 4 and 58,360,855.75 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:

1 233,443,423
-1 233,443,423
Keep dividing by the next highest number until you cannot divide anymore.

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

1311031136473,1933,50311,63920,05766,64173,111360,8092,065,8712,266,4417,530,433233,443,423
-1-31-103-113-647-3,193-3,503-11,639-20,057-66,641-73,111-360,809-2,065,871-2,266,441-7,530,433-233,443,423

More Examples

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