Q: What are the factor combinations of the number 333,125,023?

 A:
Positive:   1 x 3331250237 x 4758928911 x 3028409337 x 900337977 x 4326299259 x 1286197407 x 8184892849 x 116927
Negative: -1 x -333125023-7 x -47589289-11 x -30284093-37 x -9003379-77 x -4326299-259 x -1286197-407 x -818489-2849 x -116927


How do I find the factor combinations of the number 333,125,023?

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 333,125,023, 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.

1 333,125,023
-1 -333,125,023

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 333,125,023.

Example:
1 x 333,125,023 = 333,125,023
and
-1 x -333,125,023 = 333,125,023
Notice both answers equal 333,125,023

With that explanation out of the way, let's continue. Next, we take the number 333,125,023 and divide it by 2:

333,125,023 ÷ 2 = 166,562,511.5

If the quotient is a whole number, then 2 and 166,562,511.5 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:

1 333,125,023
-1 -333,125,023

Now, we try dividing 333,125,023 by 3:

333,125,023 ÷ 3 = 111,041,674.3333

If the quotient is a whole number, then 3 and 111,041,674.3333 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:

1 333,125,023
-1 -333,125,023

Let's try dividing by 4:

333,125,023 ÷ 4 = 83,281,255.75

If the quotient is a whole number, then 4 and 83,281,255.75 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:

1 333,125,023
-1 333,125,023
Keep dividing by the next highest number until you cannot divide anymore.

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

171137772594072,849116,927818,4891,286,1974,326,2999,003,37930,284,09347,589,289333,125,023
-1-7-11-37-77-259-407-2,849-116,927-818,489-1,286,197-4,326,299-9,003,379-30,284,093-47,589,289-333,125,023

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