Q: What are the factor combinations of the number 204,000,017?

 A:
Positive:   1 x 20400001713 x 1569230917 x 1200000119 x 10736843221 x 923077247 x 825911323 x 631579361 x 5650972557 x 797814199 x 485834693 x 434696137 x 33241
Negative: -1 x -204000017-13 x -15692309-17 x -12000001-19 x -10736843-221 x -923077-247 x -825911-323 x -631579-361 x -565097-2557 x -79781-4199 x -48583-4693 x -43469-6137 x -33241


How do I find the factor combinations of the number 204,000,017?

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 204,000,017, 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.

1 204,000,017
-1 -204,000,017

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 204,000,017.

Example:
1 x 204,000,017 = 204,000,017
and
-1 x -204,000,017 = 204,000,017
Notice both answers equal 204,000,017

With that explanation out of the way, let's continue. Next, we take the number 204,000,017 and divide it by 2:

204,000,017 ÷ 2 = 102,000,008.5

If the quotient is a whole number, then 2 and 102,000,008.5 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:

1 204,000,017
-1 -204,000,017

Now, we try dividing 204,000,017 by 3:

204,000,017 ÷ 3 = 68,000,005.6667

If the quotient is a whole number, then 3 and 68,000,005.6667 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:

1 204,000,017
-1 -204,000,017

Let's try dividing by 4:

204,000,017 ÷ 4 = 51,000,004.25

If the quotient is a whole number, then 4 and 51,000,004.25 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:

1 204,000,017
-1 204,000,017
Keep dividing by the next highest number until you cannot divide anymore.

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

11317192212473233612,5574,1994,6936,13733,24143,46948,58379,781565,097631,579825,911923,07710,736,84312,000,00115,692,309204,000,017
-1-13-17-19-221-247-323-361-2,557-4,199-4,693-6,137-33,241-43,469-48,583-79,781-565,097-631,579-825,911-923,077-10,736,843-12,000,001-15,692,309-204,000,017

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