Q: What are the factor combinations of the number 333,014,513?

 A:
Positive:   1 x 33301451313 x 2561650117 x 19589089197 x 1690429221 x 15068532561 x 1300333349 x 994377649 x 43537
Negative: -1 x -333014513-13 x -25616501-17 x -19589089-197 x -1690429-221 x -1506853-2561 x -130033-3349 x -99437-7649 x -43537


How do I find the factor combinations of the number 333,014,513?

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 333,014,513, 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.

1 333,014,513
-1 -333,014,513

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 333,014,513.

Example:
1 x 333,014,513 = 333,014,513
and
-1 x -333,014,513 = 333,014,513
Notice both answers equal 333,014,513

With that explanation out of the way, let's continue. Next, we take the number 333,014,513 and divide it by 2:

333,014,513 ÷ 2 = 166,507,256.5

If the quotient is a whole number, then 2 and 166,507,256.5 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:

1 333,014,513
-1 -333,014,513

Now, we try dividing 333,014,513 by 3:

333,014,513 ÷ 3 = 111,004,837.6667

If the quotient is a whole number, then 3 and 111,004,837.6667 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:

1 333,014,513
-1 -333,014,513

Let's try dividing by 4:

333,014,513 ÷ 4 = 83,253,628.25

If the quotient is a whole number, then 4 and 83,253,628.25 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:

1 333,014,513
-1 333,014,513
Keep dividing by the next highest number until you cannot divide anymore.

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

113171972212,5613,3497,64943,53799,437130,0331,506,8531,690,42919,589,08925,616,501333,014,513
-1-13-17-197-221-2,561-3,349-7,649-43,537-99,437-130,033-1,506,853-1,690,429-19,589,089-25,616,501-333,014,513

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