Q: What are the factor combinations of the number 27,365,155?

 A:
Positive:   1 x 273651555 x 547303117 x 160971585 x 32194397 x 282115485 x 564231649 x 165953319 x 8245
Negative: -1 x -27365155-5 x -5473031-17 x -1609715-85 x -321943-97 x -282115-485 x -56423-1649 x -16595-3319 x -8245


How do I find the factor combinations of the number 27,365,155?

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 27,365,155, 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 27,365,155
-1 -27,365,155

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 27,365,155.

Example:
1 x 27,365,155 = 27,365,155
and
-1 x -27,365,155 = 27,365,155
Notice both answers equal 27,365,155

With that explanation out of the way, let's continue. Next, we take the number 27,365,155 and divide it by 2:

27,365,155 ÷ 2 = 13,682,577.5

If the quotient is a whole number, then 2 and 13,682,577.5 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 27,365,155
-1 -27,365,155

Now, we try dividing 27,365,155 by 3:

27,365,155 ÷ 3 = 9,121,718.3333

If the quotient is a whole number, then 3 and 9,121,718.3333 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 27,365,155
-1 -27,365,155

Let's try dividing by 4:

27,365,155 ÷ 4 = 6,841,288.75

If the quotient is a whole number, then 4 and 6,841,288.75 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 27,365,155
-1 27,365,155
Keep dividing by the next highest number until you cannot divide anymore.

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

151785974851,6493,3198,24516,59556,423282,115321,9431,609,7155,473,03127,365,155
-1-5-17-85-97-485-1,649-3,319-8,245-16,595-56,423-282,115-321,943-1,609,715-5,473,031-27,365,155

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