Q: What are the factor combinations of the number 20,362,835?

 A:
Positive:   1 x 203628355 x 4072567109 x 186815545 x 37363
Negative: -1 x -20362835-5 x -4072567-109 x -186815-545 x -37363


How do I find the factor combinations of the number 20,362,835?

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 20,362,835, 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 20,362,835
-1 -20,362,835

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 20,362,835.

Example:
1 x 20,362,835 = 20,362,835
and
-1 x -20,362,835 = 20,362,835
Notice both answers equal 20,362,835

With that explanation out of the way, let's continue. Next, we take the number 20,362,835 and divide it by 2:

20,362,835 ÷ 2 = 10,181,417.5

If the quotient is a whole number, then 2 and 10,181,417.5 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 20,362,835
-1 -20,362,835

Now, we try dividing 20,362,835 by 3:

20,362,835 ÷ 3 = 6,787,611.6667

If the quotient is a whole number, then 3 and 6,787,611.6667 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 20,362,835
-1 -20,362,835

Let's try dividing by 4:

20,362,835 ÷ 4 = 5,090,708.75

If the quotient is a whole number, then 4 and 5,090,708.75 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 20,362,835
-1 20,362,835
Keep dividing by the next highest number until you cannot divide anymore.

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

1510954537,363186,8154,072,56720,362,835
-1-5-109-545-37,363-186,815-4,072,567-20,362,835

More Examples

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