Q: What are the factor combinations of the number 333,242,303?

 A:
Positive:   1 x 33324230343 x 774982179 x 4218257263 x 1267081373 x 8934113397 x 9809911309 x 2946716039 x 20777
Negative: -1 x -333242303-43 x -7749821-79 x -4218257-263 x -1267081-373 x -893411-3397 x -98099-11309 x -29467-16039 x -20777


How do I find the factor combinations of the number 333,242,303?

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 333,242,303, 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.

1 333,242,303
-1 -333,242,303

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 333,242,303.

Example:
1 x 333,242,303 = 333,242,303
and
-1 x -333,242,303 = 333,242,303
Notice both answers equal 333,242,303

With that explanation out of the way, let's continue. Next, we take the number 333,242,303 and divide it by 2:

333,242,303 ÷ 2 = 166,621,151.5

If the quotient is a whole number, then 2 and 166,621,151.5 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:

1 333,242,303
-1 -333,242,303

Now, we try dividing 333,242,303 by 3:

333,242,303 ÷ 3 = 111,080,767.6667

If the quotient is a whole number, then 3 and 111,080,767.6667 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:

1 333,242,303
-1 -333,242,303

Let's try dividing by 4:

333,242,303 ÷ 4 = 83,310,575.75

If the quotient is a whole number, then 4 and 83,310,575.75 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:

1 333,242,303
-1 333,242,303
Keep dividing by the next highest number until you cannot divide anymore.

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

143792633733,39711,30916,03920,77729,46798,099893,4111,267,0814,218,2577,749,821333,242,303
-1-43-79-263-373-3,397-11,309-16,039-20,777-29,467-98,099-893,411-1,267,081-4,218,257-7,749,821-333,242,303

More Examples

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