Q: What are the factor combinations of the number 20,617,325?

 A:
Positive:   1 x 206173255 x 412346525 x 82469331 x 66507537 x 557225155 x 133015185 x 111445719 x 28675775 x 26603925 x 222891147 x 179753595 x 5735
Negative: -1 x -20617325-5 x -4123465-25 x -824693-31 x -665075-37 x -557225-155 x -133015-185 x -111445-719 x -28675-775 x -26603-925 x -22289-1147 x -17975-3595 x -5735


How do I find the factor combinations of the number 20,617,325?

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 20,617,325, 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 20,617,325
-1 -20,617,325

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 20,617,325.

Example:
1 x 20,617,325 = 20,617,325
and
-1 x -20,617,325 = 20,617,325
Notice both answers equal 20,617,325

With that explanation out of the way, let's continue. Next, we take the number 20,617,325 and divide it by 2:

20,617,325 ÷ 2 = 10,308,662.5

If the quotient is a whole number, then 2 and 10,308,662.5 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 20,617,325
-1 -20,617,325

Now, we try dividing 20,617,325 by 3:

20,617,325 ÷ 3 = 6,872,441.6667

If the quotient is a whole number, then 3 and 6,872,441.6667 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 20,617,325
-1 -20,617,325

Let's try dividing by 4:

20,617,325 ÷ 4 = 5,154,331.25

If the quotient is a whole number, then 4 and 5,154,331.25 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 20,617,325
-1 20,617,325
Keep dividing by the next highest number until you cannot divide anymore.

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

152531371551857197759251,1473,5955,73517,97522,28926,60328,675111,445133,015557,225665,075824,6934,123,46520,617,325
-1-5-25-31-37-155-185-719-775-925-1,147-3,595-5,735-17,975-22,289-26,603-28,675-111,445-133,015-557,225-665,075-824,693-4,123,465-20,617,325

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