Q: What are the factor combinations of the number 20,334,433?

 A:
Positive:   1 x 203344337 x 290491967 x 303499191 x 106463227 x 89579469 x 433571337 x 152091589 x 12797
Negative: -1 x -20334433-7 x -2904919-67 x -303499-191 x -106463-227 x -89579-469 x -43357-1337 x -15209-1589 x -12797


How do I find the factor combinations of the number 20,334,433?

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 20,334,433, 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 20,334,433
-1 -20,334,433

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 20,334,433.

Example:
1 x 20,334,433 = 20,334,433
and
-1 x -20,334,433 = 20,334,433
Notice both answers equal 20,334,433

With that explanation out of the way, let's continue. Next, we take the number 20,334,433 and divide it by 2:

20,334,433 ÷ 2 = 10,167,216.5

If the quotient is a whole number, then 2 and 10,167,216.5 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 20,334,433
-1 -20,334,433

Now, we try dividing 20,334,433 by 3:

20,334,433 ÷ 3 = 6,778,144.3333

If the quotient is a whole number, then 3 and 6,778,144.3333 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 20,334,433
-1 -20,334,433

Let's try dividing by 4:

20,334,433 ÷ 4 = 5,083,608.25

If the quotient is a whole number, then 4 and 5,083,608.25 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 20,334,433
-1 20,334,433
Keep dividing by the next highest number until you cannot divide anymore.

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

17671912274691,3371,58912,79715,20943,35789,579106,463303,4992,904,91920,334,433
-1-7-67-191-227-469-1,337-1,589-12,797-15,209-43,357-89,579-106,463-303,499-2,904,919-20,334,433

More Examples

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