Q: What are the factor combinations of the number 27,402,815?

 A:
Positive:   1 x 274028155 x 548056311 x 249116555 x 498233101 x 271315505 x 542631111 x 246654933 x 5555
Negative: -1 x -27402815-5 x -5480563-11 x -2491165-55 x -498233-101 x -271315-505 x -54263-1111 x -24665-4933 x -5555


How do I find the factor combinations of the number 27,402,815?

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 27,402,815, 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 27,402,815
-1 -27,402,815

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 27,402,815.

Example:
1 x 27,402,815 = 27,402,815
and
-1 x -27,402,815 = 27,402,815
Notice both answers equal 27,402,815

With that explanation out of the way, let's continue. Next, we take the number 27,402,815 and divide it by 2:

27,402,815 ÷ 2 = 13,701,407.5

If the quotient is a whole number, then 2 and 13,701,407.5 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 27,402,815
-1 -27,402,815

Now, we try dividing 27,402,815 by 3:

27,402,815 ÷ 3 = 9,134,271.6667

If the quotient is a whole number, then 3 and 9,134,271.6667 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 27,402,815
-1 -27,402,815

Let's try dividing by 4:

27,402,815 ÷ 4 = 6,850,703.75

If the quotient is a whole number, then 4 and 6,850,703.75 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 27,402,815
-1 27,402,815
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551015051,1114,9335,55524,66554,263271,315498,2332,491,1655,480,56327,402,815
-1-5-11-55-101-505-1,111-4,933-5,555-24,665-54,263-271,315-498,233-2,491,165-5,480,563-27,402,815

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