Q: What are the factor combinations of the number 333,214,133?

 A:
Positive:   1 x 3332141337 x 4760201923 x 1448757131 x 10748843161 x 2069653217 x 1535549713 x 4673414991 x 66763
Negative: -1 x -333214133-7 x -47602019-23 x -14487571-31 x -10748843-161 x -2069653-217 x -1535549-713 x -467341-4991 x -66763


How do I find the factor combinations of the number 333,214,133?

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 333,214,133, 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.

1 333,214,133
-1 -333,214,133

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 333,214,133.

Example:
1 x 333,214,133 = 333,214,133
and
-1 x -333,214,133 = 333,214,133
Notice both answers equal 333,214,133

With that explanation out of the way, let's continue. Next, we take the number 333,214,133 and divide it by 2:

333,214,133 ÷ 2 = 166,607,066.5

If the quotient is a whole number, then 2 and 166,607,066.5 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:

1 333,214,133
-1 -333,214,133

Now, we try dividing 333,214,133 by 3:

333,214,133 ÷ 3 = 111,071,377.6667

If the quotient is a whole number, then 3 and 111,071,377.6667 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:

1 333,214,133
-1 -333,214,133

Let's try dividing by 4:

333,214,133 ÷ 4 = 83,303,533.25

If the quotient is a whole number, then 4 and 83,303,533.25 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:

1 333,214,133
-1 333,214,133
Keep dividing by the next highest number until you cannot divide anymore.

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

1723311612177134,99166,763467,3411,535,5492,069,65310,748,84314,487,57147,602,019333,214,133
-1-7-23-31-161-217-713-4,991-66,763-467,341-1,535,549-2,069,653-10,748,843-14,487,571-47,602,019-333,214,133

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