Q: What are the factor combinations of the number 20,002,333?

 A:
Positive:   1 x 2000233313 x 153864171 x 281723169 x 118357923 x 216711667 x 11999
Negative: -1 x -20002333-13 x -1538641-71 x -281723-169 x -118357-923 x -21671-1667 x -11999


How do I find the factor combinations of the number 20,002,333?

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 20,002,333, 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 20,002,333
-1 -20,002,333

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 20,002,333.

Example:
1 x 20,002,333 = 20,002,333
and
-1 x -20,002,333 = 20,002,333
Notice both answers equal 20,002,333

With that explanation out of the way, let's continue. Next, we take the number 20,002,333 and divide it by 2:

20,002,333 ÷ 2 = 10,001,166.5

If the quotient is a whole number, then 2 and 10,001,166.5 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 20,002,333
-1 -20,002,333

Now, we try dividing 20,002,333 by 3:

20,002,333 ÷ 3 = 6,667,444.3333

If the quotient is a whole number, then 3 and 6,667,444.3333 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 20,002,333
-1 -20,002,333

Let's try dividing by 4:

20,002,333 ÷ 4 = 5,000,583.25

If the quotient is a whole number, then 4 and 5,000,583.25 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 20,002,333
-1 20,002,333
Keep dividing by the next highest number until you cannot divide anymore.

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

113711699231,66711,99921,671118,357281,7231,538,64120,002,333
-1-13-71-169-923-1,667-11,999-21,671-118,357-281,723-1,538,641-20,002,333

More Examples

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