Q: What are the factor combinations of the number 333,342,443?

 A:
Positive:   1 x 3333424437 x 4762034917 x 1960837929 x 1149456749 x 6802907119 x 2801197203 x 1642081493 x 676151833 x 4001711421 x 2345833451 x 9659313799 x 24157
Negative: -1 x -333342443-7 x -47620349-17 x -19608379-29 x -11494567-49 x -6802907-119 x -2801197-203 x -1642081-493 x -676151-833 x -400171-1421 x -234583-3451 x -96593-13799 x -24157


How do I find the factor combinations of the number 333,342,443?

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 333,342,443, 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.

1 333,342,443
-1 -333,342,443

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 333,342,443.

Example:
1 x 333,342,443 = 333,342,443
and
-1 x -333,342,443 = 333,342,443
Notice both answers equal 333,342,443

With that explanation out of the way, let's continue. Next, we take the number 333,342,443 and divide it by 2:

333,342,443 ÷ 2 = 166,671,221.5

If the quotient is a whole number, then 2 and 166,671,221.5 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:

1 333,342,443
-1 -333,342,443

Now, we try dividing 333,342,443 by 3:

333,342,443 ÷ 3 = 111,114,147.6667

If the quotient is a whole number, then 3 and 111,114,147.6667 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:

1 333,342,443
-1 -333,342,443

Let's try dividing by 4:

333,342,443 ÷ 4 = 83,335,610.75

If the quotient is a whole number, then 4 and 83,335,610.75 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:

1 333,342,443
-1 333,342,443
Keep dividing by the next highest number until you cannot divide anymore.

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

171729491192034938331,4213,45113,79924,15796,593234,583400,171676,1511,642,0812,801,1976,802,90711,494,56719,608,37947,620,349333,342,443
-1-7-17-29-49-119-203-493-833-1,421-3,451-13,799-24,157-96,593-234,583-400,171-676,151-1,642,081-2,801,197-6,802,907-11,494,567-19,608,379-47,620,349-333,342,443

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