Q: What are the factor combinations of the number 20,304,125?

 A:
Positive:   1 x 203041255 x 406082525 x 812165125 x 162433127 x 159875635 x 319751279 x 158753175 x 6395
Negative: -1 x -20304125-5 x -4060825-25 x -812165-125 x -162433-127 x -159875-635 x -31975-1279 x -15875-3175 x -6395


How do I find the factor combinations of the number 20,304,125?

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 20,304,125, 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 20,304,125
-1 -20,304,125

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 20,304,125.

Example:
1 x 20,304,125 = 20,304,125
and
-1 x -20,304,125 = 20,304,125
Notice both answers equal 20,304,125

With that explanation out of the way, let's continue. Next, we take the number 20,304,125 and divide it by 2:

20,304,125 ÷ 2 = 10,152,062.5

If the quotient is a whole number, then 2 and 10,152,062.5 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 20,304,125
-1 -20,304,125

Now, we try dividing 20,304,125 by 3:

20,304,125 ÷ 3 = 6,768,041.6667

If the quotient is a whole number, then 3 and 6,768,041.6667 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 20,304,125
-1 -20,304,125

Let's try dividing by 4:

20,304,125 ÷ 4 = 5,076,031.25

If the quotient is a whole number, then 4 and 5,076,031.25 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 20,304,125
-1 20,304,125
Keep dividing by the next highest number until you cannot divide anymore.

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

15251251276351,2793,1756,39515,87531,975159,875162,433812,1654,060,82520,304,125
-1-5-25-125-127-635-1,279-3,175-6,395-15,875-31,975-159,875-162,433-812,165-4,060,825-20,304,125

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