Q: What are the factor combinations of the number 233,220,433?

 A:
Positive:   1 x 23322043317 x 1371884943 x 5423731109 x 2139637731 x 3190431853 x 1258612927 x 796794687 x 49759
Negative: -1 x -233220433-17 x -13718849-43 x -5423731-109 x -2139637-731 x -319043-1853 x -125861-2927 x -79679-4687 x -49759


How do I find the factor combinations of the number 233,220,433?

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 233,220,433, 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.

1 233,220,433
-1 -233,220,433

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 233,220,433.

Example:
1 x 233,220,433 = 233,220,433
and
-1 x -233,220,433 = 233,220,433
Notice both answers equal 233,220,433

With that explanation out of the way, let's continue. Next, we take the number 233,220,433 and divide it by 2:

233,220,433 ÷ 2 = 116,610,216.5

If the quotient is a whole number, then 2 and 116,610,216.5 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:

1 233,220,433
-1 -233,220,433

Now, we try dividing 233,220,433 by 3:

233,220,433 ÷ 3 = 77,740,144.3333

If the quotient is a whole number, then 3 and 77,740,144.3333 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:

1 233,220,433
-1 -233,220,433

Let's try dividing by 4:

233,220,433 ÷ 4 = 58,305,108.25

If the quotient is a whole number, then 4 and 58,305,108.25 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:

1 233,220,433
-1 233,220,433
Keep dividing by the next highest number until you cannot divide anymore.

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

117431097311,8532,9274,68749,75979,679125,861319,0432,139,6375,423,73113,718,849233,220,433
-1-17-43-109-731-1,853-2,927-4,687-49,759-79,679-125,861-319,043-2,139,637-5,423,731-13,718,849-233,220,433

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