Q: What are the factor combinations of the number 20,200,405?

 A:
Positive:   1 x 202004055 x 4040081157 x 128665785 x 25733
Negative: -1 x -20200405-5 x -4040081-157 x -128665-785 x -25733


How do I find the factor combinations of the number 20,200,405?

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 20,200,405, 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 20,200,405
-1 -20,200,405

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 20,200,405.

Example:
1 x 20,200,405 = 20,200,405
and
-1 x -20,200,405 = 20,200,405
Notice both answers equal 20,200,405

With that explanation out of the way, let's continue. Next, we take the number 20,200,405 and divide it by 2:

20,200,405 ÷ 2 = 10,100,202.5

If the quotient is a whole number, then 2 and 10,100,202.5 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 20,200,405
-1 -20,200,405

Now, we try dividing 20,200,405 by 3:

20,200,405 ÷ 3 = 6,733,468.3333

If the quotient is a whole number, then 3 and 6,733,468.3333 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 20,200,405
-1 -20,200,405

Let's try dividing by 4:

20,200,405 ÷ 4 = 5,050,101.25

If the quotient is a whole number, then 4 and 5,050,101.25 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 20,200,405
-1 20,200,405
Keep dividing by the next highest number until you cannot divide anymore.

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

1515778525,733128,6654,040,08120,200,405
-1-5-157-785-25,733-128,665-4,040,081-20,200,405

More Examples

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