Q: What are the factor combinations of the number 243,333,223?

 A:
Positive:   1 x 2433332237 x 3476188917 x 14313719119 x 2044817701 x 3471232917 x 834194907 x 4958911917 x 20419
Negative: -1 x -243333223-7 x -34761889-17 x -14313719-119 x -2044817-701 x -347123-2917 x -83419-4907 x -49589-11917 x -20419


How do I find the factor combinations of the number 243,333,223?

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 243,333,223, 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.

1 243,333,223
-1 -243,333,223

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 243,333,223.

Example:
1 x 243,333,223 = 243,333,223
and
-1 x -243,333,223 = 243,333,223
Notice both answers equal 243,333,223

With that explanation out of the way, let's continue. Next, we take the number 243,333,223 and divide it by 2:

243,333,223 ÷ 2 = 121,666,611.5

If the quotient is a whole number, then 2 and 121,666,611.5 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:

1 243,333,223
-1 -243,333,223

Now, we try dividing 243,333,223 by 3:

243,333,223 ÷ 3 = 81,111,074.3333

If the quotient is a whole number, then 3 and 81,111,074.3333 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:

1 243,333,223
-1 -243,333,223

Let's try dividing by 4:

243,333,223 ÷ 4 = 60,833,305.75

If the quotient is a whole number, then 4 and 60,833,305.75 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:

1 243,333,223
-1 243,333,223
Keep dividing by the next highest number until you cannot divide anymore.

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

17171197012,9174,90711,91720,41949,58983,419347,1232,044,81714,313,71934,761,889243,333,223
-1-7-17-119-701-2,917-4,907-11,917-20,419-49,589-83,419-347,123-2,044,817-14,313,719-34,761,889-243,333,223

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 243,333,223:


Ask a Question