Q: What are the factor combinations of the number 20,433,503?

 A:
Positive:   1 x 2043350373 x 279911317 x 64459883 x 23141
Negative: -1 x -20433503-73 x -279911-317 x -64459-883 x -23141


How do I find the factor combinations of the number 20,433,503?

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 20,433,503, 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 20,433,503
-1 -20,433,503

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 20,433,503.

Example:
1 x 20,433,503 = 20,433,503
and
-1 x -20,433,503 = 20,433,503
Notice both answers equal 20,433,503

With that explanation out of the way, let's continue. Next, we take the number 20,433,503 and divide it by 2:

20,433,503 ÷ 2 = 10,216,751.5

If the quotient is a whole number, then 2 and 10,216,751.5 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 20,433,503
-1 -20,433,503

Now, we try dividing 20,433,503 by 3:

20,433,503 ÷ 3 = 6,811,167.6667

If the quotient is a whole number, then 3 and 6,811,167.6667 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 20,433,503
-1 -20,433,503

Let's try dividing by 4:

20,433,503 ÷ 4 = 5,108,375.75

If the quotient is a whole number, then 4 and 5,108,375.75 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 20,433,503
-1 20,433,503
Keep dividing by the next highest number until you cannot divide anymore.

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

17331788323,14164,459279,91120,433,503
-1-73-317-883-23,141-64,459-279,911-20,433,503

More Examples

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