Q: What are the factor combinations of the number 20,313,325?

 A:
Positive:   1 x 203133255 x 406266525 x 812533571 x 355751423 x 142752855 x 7115
Negative: -1 x -20313325-5 x -4062665-25 x -812533-571 x -35575-1423 x -14275-2855 x -7115


How do I find the factor combinations of the number 20,313,325?

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 20,313,325, 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 20,313,325
-1 -20,313,325

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 20,313,325.

Example:
1 x 20,313,325 = 20,313,325
and
-1 x -20,313,325 = 20,313,325
Notice both answers equal 20,313,325

With that explanation out of the way, let's continue. Next, we take the number 20,313,325 and divide it by 2:

20,313,325 ÷ 2 = 10,156,662.5

If the quotient is a whole number, then 2 and 10,156,662.5 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 20,313,325
-1 -20,313,325

Now, we try dividing 20,313,325 by 3:

20,313,325 ÷ 3 = 6,771,108.3333

If the quotient is a whole number, then 3 and 6,771,108.3333 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 20,313,325
-1 -20,313,325

Let's try dividing by 4:

20,313,325 ÷ 4 = 5,078,331.25

If the quotient is a whole number, then 4 and 5,078,331.25 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 20,313,325
-1 20,313,325
Keep dividing by the next highest number until you cannot divide anymore.

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

15255711,4232,8557,11514,27535,575812,5334,062,66520,313,325
-1-5-25-571-1,423-2,855-7,115-14,275-35,575-812,533-4,062,665-20,313,325

More Examples

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