Q: What are the factor combinations of the number 27,242,735?

 A:
Positive:   1 x 272427355 x 544854713 x 209559565 x 419119107 x 254605535 x 509211391 x 195853917 x 6955
Negative: -1 x -27242735-5 x -5448547-13 x -2095595-65 x -419119-107 x -254605-535 x -50921-1391 x -19585-3917 x -6955


How do I find the factor combinations of the number 27,242,735?

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 27,242,735, 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 27,242,735
-1 -27,242,735

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 27,242,735.

Example:
1 x 27,242,735 = 27,242,735
and
-1 x -27,242,735 = 27,242,735
Notice both answers equal 27,242,735

With that explanation out of the way, let's continue. Next, we take the number 27,242,735 and divide it by 2:

27,242,735 ÷ 2 = 13,621,367.5

If the quotient is a whole number, then 2 and 13,621,367.5 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 27,242,735
-1 -27,242,735

Now, we try dividing 27,242,735 by 3:

27,242,735 ÷ 3 = 9,080,911.6667

If the quotient is a whole number, then 3 and 9,080,911.6667 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 27,242,735
-1 -27,242,735

Let's try dividing by 4:

27,242,735 ÷ 4 = 6,810,683.75

If the quotient is a whole number, then 4 and 6,810,683.75 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 27,242,735
-1 27,242,735
Keep dividing by the next highest number until you cannot divide anymore.

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

1513651075351,3913,9176,95519,58550,921254,605419,1192,095,5955,448,54727,242,735
-1-5-13-65-107-535-1,391-3,917-6,955-19,585-50,921-254,605-419,119-2,095,595-5,448,547-27,242,735

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