Q: What are the factor combinations of the number 204,242,405?

 A:
Positive:   1 x 2042424055 x 4084848137 x 5520065185 x 1104013613 x 3331851801 x 1134053065 x 666379005 x 22681
Negative: -1 x -204242405-5 x -40848481-37 x -5520065-185 x -1104013-613 x -333185-1801 x -113405-3065 x -66637-9005 x -22681


How do I find the factor combinations of the number 204,242,405?

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 204,242,405, 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.

1 204,242,405
-1 -204,242,405

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 204,242,405.

Example:
1 x 204,242,405 = 204,242,405
and
-1 x -204,242,405 = 204,242,405
Notice both answers equal 204,242,405

With that explanation out of the way, let's continue. Next, we take the number 204,242,405 and divide it by 2:

204,242,405 ÷ 2 = 102,121,202.5

If the quotient is a whole number, then 2 and 102,121,202.5 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:

1 204,242,405
-1 -204,242,405

Now, we try dividing 204,242,405 by 3:

204,242,405 ÷ 3 = 68,080,801.6667

If the quotient is a whole number, then 3 and 68,080,801.6667 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:

1 204,242,405
-1 -204,242,405

Let's try dividing by 4:

204,242,405 ÷ 4 = 51,060,601.25

If the quotient is a whole number, then 4 and 51,060,601.25 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:

1 204,242,405
-1 204,242,405
Keep dividing by the next highest number until you cannot divide anymore.

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

15371856131,8013,0659,00522,68166,637113,405333,1851,104,0135,520,06540,848,481204,242,405
-1-5-37-185-613-1,801-3,065-9,005-22,681-66,637-113,405-333,185-1,104,013-5,520,065-40,848,481-204,242,405

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