Q: What are the factor combinations of the number 20,002,433?

 A:
Positive:   1 x 2000243311 x 181840323 x 869671173 x 115621253 x 79061457 x 437691903 x 105113979 x 5027
Negative: -1 x -20002433-11 x -1818403-23 x -869671-173 x -115621-253 x -79061-457 x -43769-1903 x -10511-3979 x -5027


How do I find the factor combinations of the number 20,002,433?

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 20,002,433, 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 20,002,433
-1 -20,002,433

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 20,002,433.

Example:
1 x 20,002,433 = 20,002,433
and
-1 x -20,002,433 = 20,002,433
Notice both answers equal 20,002,433

With that explanation out of the way, let's continue. Next, we take the number 20,002,433 and divide it by 2:

20,002,433 ÷ 2 = 10,001,216.5

If the quotient is a whole number, then 2 and 10,001,216.5 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 20,002,433
-1 -20,002,433

Now, we try dividing 20,002,433 by 3:

20,002,433 ÷ 3 = 6,667,477.6667

If the quotient is a whole number, then 3 and 6,667,477.6667 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 20,002,433
-1 -20,002,433

Let's try dividing by 4:

20,002,433 ÷ 4 = 5,000,608.25

If the quotient is a whole number, then 4 and 5,000,608.25 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 20,002,433
-1 20,002,433
Keep dividing by the next highest number until you cannot divide anymore.

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

111231732534571,9033,9795,02710,51143,76979,061115,621869,6711,818,40320,002,433
-1-11-23-173-253-457-1,903-3,979-5,027-10,511-43,769-79,061-115,621-869,671-1,818,403-20,002,433

More Examples

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