Q: What are the factor combinations of the number 27,358,799?

 A:
Positive:   1 x 2735879913 x 210452323 x 118951337 x 739427299 x 91501481 x 56879851 x 321492473 x 11063
Negative: -1 x -27358799-13 x -2104523-23 x -1189513-37 x -739427-299 x -91501-481 x -56879-851 x -32149-2473 x -11063


How do I find the factor combinations of the number 27,358,799?

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 27,358,799, 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 27,358,799
-1 -27,358,799

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 27,358,799.

Example:
1 x 27,358,799 = 27,358,799
and
-1 x -27,358,799 = 27,358,799
Notice both answers equal 27,358,799

With that explanation out of the way, let's continue. Next, we take the number 27,358,799 and divide it by 2:

27,358,799 ÷ 2 = 13,679,399.5

If the quotient is a whole number, then 2 and 13,679,399.5 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 27,358,799
-1 -27,358,799

Now, we try dividing 27,358,799 by 3:

27,358,799 ÷ 3 = 9,119,599.6667

If the quotient is a whole number, then 3 and 9,119,599.6667 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 27,358,799
-1 -27,358,799

Let's try dividing by 4:

27,358,799 ÷ 4 = 6,839,699.75

If the quotient is a whole number, then 4 and 6,839,699.75 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 27,358,799
-1 27,358,799
Keep dividing by the next highest number until you cannot divide anymore.

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

11323372994818512,47311,06332,14956,87991,501739,4271,189,5132,104,52327,358,799
-1-13-23-37-299-481-851-2,473-11,063-32,149-56,879-91,501-739,427-1,189,513-2,104,523-27,358,799

More Examples

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