Q: What are the factor combinations of the number 333,313,355?

 A:
Positive:   1 x 3333133555 x 6666267123 x 14491885115 x 2898377157 x 2123015785 x 4246033611 x 9230518055 x 18461
Negative: -1 x -333313355-5 x -66662671-23 x -14491885-115 x -2898377-157 x -2123015-785 x -424603-3611 x -92305-18055 x -18461


How do I find the factor combinations of the number 333,313,355?

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 333,313,355, 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.

1 333,313,355
-1 -333,313,355

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 333,313,355.

Example:
1 x 333,313,355 = 333,313,355
and
-1 x -333,313,355 = 333,313,355
Notice both answers equal 333,313,355

With that explanation out of the way, let's continue. Next, we take the number 333,313,355 and divide it by 2:

333,313,355 ÷ 2 = 166,656,677.5

If the quotient is a whole number, then 2 and 166,656,677.5 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:

1 333,313,355
-1 -333,313,355

Now, we try dividing 333,313,355 by 3:

333,313,355 ÷ 3 = 111,104,451.6667

If the quotient is a whole number, then 3 and 111,104,451.6667 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:

1 333,313,355
-1 -333,313,355

Let's try dividing by 4:

333,313,355 ÷ 4 = 83,328,338.75

If the quotient is a whole number, then 4 and 83,328,338.75 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:

1 333,313,355
-1 333,313,355
Keep dividing by the next highest number until you cannot divide anymore.

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

15231151577853,61118,05518,46192,305424,6032,123,0152,898,37714,491,88566,662,671333,313,355
-1-5-23-115-157-785-3,611-18,055-18,461-92,305-424,603-2,123,015-2,898,377-14,491,885-66,662,671-333,313,355

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