Q: What are the factor combinations of the number 204,002,329?

 A:
Positive:   1 x 20400232917 x 1200013789 x 2292161109 x 18715811237 x 1649171513 x 1348331853 x 1100939701 x 21029
Negative: -1 x -204002329-17 x -12000137-89 x -2292161-109 x -1871581-1237 x -164917-1513 x -134833-1853 x -110093-9701 x -21029


How do I find the factor combinations of the number 204,002,329?

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 204,002,329, 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.

1 204,002,329
-1 -204,002,329

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 204,002,329.

Example:
1 x 204,002,329 = 204,002,329
and
-1 x -204,002,329 = 204,002,329
Notice both answers equal 204,002,329

With that explanation out of the way, let's continue. Next, we take the number 204,002,329 and divide it by 2:

204,002,329 ÷ 2 = 102,001,164.5

If the quotient is a whole number, then 2 and 102,001,164.5 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:

1 204,002,329
-1 -204,002,329

Now, we try dividing 204,002,329 by 3:

204,002,329 ÷ 3 = 68,000,776.3333

If the quotient is a whole number, then 3 and 68,000,776.3333 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:

1 204,002,329
-1 -204,002,329

Let's try dividing by 4:

204,002,329 ÷ 4 = 51,000,582.25

If the quotient is a whole number, then 4 and 51,000,582.25 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:

1 204,002,329
-1 204,002,329
Keep dividing by the next highest number until you cannot divide anymore.

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

117891091,2371,5131,8539,70121,029110,093134,833164,9171,871,5812,292,16112,000,137204,002,329
-1-17-89-109-1,237-1,513-1,853-9,701-21,029-110,093-134,833-164,917-1,871,581-2,292,161-12,000,137-204,002,329

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