Q: What are the factor combinations of the number 27,004,375?

 A:
Positive:   1 x 270043755 x 540087525 x 1080175125 x 216035625 x 43207
Negative: -1 x -27004375-5 x -5400875-25 x -1080175-125 x -216035-625 x -43207


How do I find the factor combinations of the number 27,004,375?

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 27,004,375, 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 27,004,375
-1 -27,004,375

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 27,004,375.

Example:
1 x 27,004,375 = 27,004,375
and
-1 x -27,004,375 = 27,004,375
Notice both answers equal 27,004,375

With that explanation out of the way, let's continue. Next, we take the number 27,004,375 and divide it by 2:

27,004,375 ÷ 2 = 13,502,187.5

If the quotient is a whole number, then 2 and 13,502,187.5 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 27,004,375
-1 -27,004,375

Now, we try dividing 27,004,375 by 3:

27,004,375 ÷ 3 = 9,001,458.3333

If the quotient is a whole number, then 3 and 9,001,458.3333 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 27,004,375
-1 -27,004,375

Let's try dividing by 4:

27,004,375 ÷ 4 = 6,751,093.75

If the quotient is a whole number, then 4 and 6,751,093.75 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 27,004,375
-1 27,004,375
Keep dividing by the next highest number until you cannot divide anymore.

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

152512562543,207216,0351,080,1755,400,87527,004,375
-1-5-25-125-625-43,207-216,035-1,080,175-5,400,875-27,004,375

More Examples

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