Q: What are the factor combinations of the number 27,132,665?

 A:
Positive:   1 x 271326655 x 54265337 x 387609519 x 142803535 x 77521995 x 285607133 x 204005665 x 40801
Negative: -1 x -27132665-5 x -5426533-7 x -3876095-19 x -1428035-35 x -775219-95 x -285607-133 x -204005-665 x -40801


How do I find the factor combinations of the number 27,132,665?

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 27,132,665, 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 27,132,665
-1 -27,132,665

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 27,132,665.

Example:
1 x 27,132,665 = 27,132,665
and
-1 x -27,132,665 = 27,132,665
Notice both answers equal 27,132,665

With that explanation out of the way, let's continue. Next, we take the number 27,132,665 and divide it by 2:

27,132,665 ÷ 2 = 13,566,332.5

If the quotient is a whole number, then 2 and 13,566,332.5 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 27,132,665
-1 -27,132,665

Now, we try dividing 27,132,665 by 3:

27,132,665 ÷ 3 = 9,044,221.6667

If the quotient is a whole number, then 3 and 9,044,221.6667 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 27,132,665
-1 -27,132,665

Let's try dividing by 4:

27,132,665 ÷ 4 = 6,783,166.25

If the quotient is a whole number, then 4 and 6,783,166.25 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 27,132,665
-1 27,132,665
Keep dividing by the next highest number until you cannot divide anymore.

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

15719359513366540,801204,005285,607775,2191,428,0353,876,0955,426,53327,132,665
-1-5-7-19-35-95-133-665-40,801-204,005-285,607-775,219-1,428,035-3,876,095-5,426,533-27,132,665

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