Q: What are the factor combinations of the number 27,136,285?

 A:
Positive:   1 x 271362855 x 542725711 x 246693555 x 493387521 x 52085947 x 286552605 x 104174735 x 5731
Negative: -1 x -27136285-5 x -5427257-11 x -2466935-55 x -493387-521 x -52085-947 x -28655-2605 x -10417-4735 x -5731


How do I find the factor combinations of the number 27,136,285?

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 27,136,285, 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 27,136,285
-1 -27,136,285

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 27,136,285.

Example:
1 x 27,136,285 = 27,136,285
and
-1 x -27,136,285 = 27,136,285
Notice both answers equal 27,136,285

With that explanation out of the way, let's continue. Next, we take the number 27,136,285 and divide it by 2:

27,136,285 ÷ 2 = 13,568,142.5

If the quotient is a whole number, then 2 and 13,568,142.5 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 27,136,285
-1 -27,136,285

Now, we try dividing 27,136,285 by 3:

27,136,285 ÷ 3 = 9,045,428.3333

If the quotient is a whole number, then 3 and 9,045,428.3333 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 27,136,285
-1 -27,136,285

Let's try dividing by 4:

27,136,285 ÷ 4 = 6,784,071.25

If the quotient is a whole number, then 4 and 6,784,071.25 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 27,136,285
-1 27,136,285
Keep dividing by the next highest number until you cannot divide anymore.

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

1511555219472,6054,7355,73110,41728,65552,085493,3872,466,9355,427,25727,136,285
-1-5-11-55-521-947-2,605-4,735-5,731-10,417-28,655-52,085-493,387-2,466,935-5,427,257-27,136,285

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