Q: What are the factor combinations of the number 232,223,249?

 A:
Positive:   1 x 23222324923 x 10096663113 x 2055073199 x 1166951449 x 5172012599 x 893514577 x 5073710327 x 22487
Negative: -1 x -232223249-23 x -10096663-113 x -2055073-199 x -1166951-449 x -517201-2599 x -89351-4577 x -50737-10327 x -22487


How do I find the factor combinations of the number 232,223,249?

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 232,223,249, 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.

1 232,223,249
-1 -232,223,249

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 232,223,249.

Example:
1 x 232,223,249 = 232,223,249
and
-1 x -232,223,249 = 232,223,249
Notice both answers equal 232,223,249

With that explanation out of the way, let's continue. Next, we take the number 232,223,249 and divide it by 2:

232,223,249 ÷ 2 = 116,111,624.5

If the quotient is a whole number, then 2 and 116,111,624.5 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:

1 232,223,249
-1 -232,223,249

Now, we try dividing 232,223,249 by 3:

232,223,249 ÷ 3 = 77,407,749.6667

If the quotient is a whole number, then 3 and 77,407,749.6667 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:

1 232,223,249
-1 -232,223,249

Let's try dividing by 4:

232,223,249 ÷ 4 = 58,055,812.25

If the quotient is a whole number, then 4 and 58,055,812.25 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:

1 232,223,249
-1 232,223,249
Keep dividing by the next highest number until you cannot divide anymore.

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

1231131994492,5994,57710,32722,48750,73789,351517,2011,166,9512,055,07310,096,663232,223,249
-1-23-113-199-449-2,599-4,577-10,327-22,487-50,737-89,351-517,201-1,166,951-2,055,073-10,096,663-232,223,249

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