Q: What are the factor combinations of the number 20,331,625?

 A:
Positive:   1 x 203316255 x 406632525 x 813265125 x 162653311 x 65375523 x 388751555 x 130752615 x 7775
Negative: -1 x -20331625-5 x -4066325-25 x -813265-125 x -162653-311 x -65375-523 x -38875-1555 x -13075-2615 x -7775


How do I find the factor combinations of the number 20,331,625?

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 20,331,625, 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 20,331,625
-1 -20,331,625

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 20,331,625.

Example:
1 x 20,331,625 = 20,331,625
and
-1 x -20,331,625 = 20,331,625
Notice both answers equal 20,331,625

With that explanation out of the way, let's continue. Next, we take the number 20,331,625 and divide it by 2:

20,331,625 ÷ 2 = 10,165,812.5

If the quotient is a whole number, then 2 and 10,165,812.5 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 20,331,625
-1 -20,331,625

Now, we try dividing 20,331,625 by 3:

20,331,625 ÷ 3 = 6,777,208.3333

If the quotient is a whole number, then 3 and 6,777,208.3333 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 20,331,625
-1 -20,331,625

Let's try dividing by 4:

20,331,625 ÷ 4 = 5,082,906.25

If the quotient is a whole number, then 4 and 5,082,906.25 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 20,331,625
-1 20,331,625
Keep dividing by the next highest number until you cannot divide anymore.

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

15251253115231,5552,6157,77513,07538,87565,375162,653813,2654,066,32520,331,625
-1-5-25-125-311-523-1,555-2,615-7,775-13,075-38,875-65,375-162,653-813,265-4,066,325-20,331,625

More Examples

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