Q: What are the factor combinations of the number 333,364,117?

 A:
Positive:   1 x 33336411737 x 900984153 x 6289889139 x 23983031223 x 2725791961 x 1699975143 x 648197367 x 45251
Negative: -1 x -333364117-37 x -9009841-53 x -6289889-139 x -2398303-1223 x -272579-1961 x -169997-5143 x -64819-7367 x -45251


How do I find the factor combinations of the number 333,364,117?

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 333,364,117, 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.

1 333,364,117
-1 -333,364,117

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 333,364,117.

Example:
1 x 333,364,117 = 333,364,117
and
-1 x -333,364,117 = 333,364,117
Notice both answers equal 333,364,117

With that explanation out of the way, let's continue. Next, we take the number 333,364,117 and divide it by 2:

333,364,117 ÷ 2 = 166,682,058.5

If the quotient is a whole number, then 2 and 166,682,058.5 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:

1 333,364,117
-1 -333,364,117

Now, we try dividing 333,364,117 by 3:

333,364,117 ÷ 3 = 111,121,372.3333

If the quotient is a whole number, then 3 and 111,121,372.3333 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:

1 333,364,117
-1 -333,364,117

Let's try dividing by 4:

333,364,117 ÷ 4 = 83,341,029.25

If the quotient is a whole number, then 4 and 83,341,029.25 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:

1 333,364,117
-1 333,364,117
Keep dividing by the next highest number until you cannot divide anymore.

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

137531391,2231,9615,1437,36745,25164,819169,997272,5792,398,3036,289,8899,009,841333,364,117
-1-37-53-139-1,223-1,961-5,143-7,367-45,251-64,819-169,997-272,579-2,398,303-6,289,889-9,009,841-333,364,117

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