Q: What are the factor combinations of the number 55,162,165?

 A:
Positive:   1 x 551621655 x 1103243323 x 2398355103 x 535555115 x 479671515 x 1071112369 x 232854657 x 11845
Negative: -1 x -55162165-5 x -11032433-23 x -2398355-103 x -535555-115 x -479671-515 x -107111-2369 x -23285-4657 x -11845


How do I find the factor combinations of the number 55,162,165?

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 55,162,165, 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 55,162,165
-1 -55,162,165

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 55,162,165.

Example:
1 x 55,162,165 = 55,162,165
and
-1 x -55,162,165 = 55,162,165
Notice both answers equal 55,162,165

With that explanation out of the way, let's continue. Next, we take the number 55,162,165 and divide it by 2:

55,162,165 ÷ 2 = 27,581,082.5

If the quotient is a whole number, then 2 and 27,581,082.5 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 55,162,165
-1 -55,162,165

Now, we try dividing 55,162,165 by 3:

55,162,165 ÷ 3 = 18,387,388.3333

If the quotient is a whole number, then 3 and 18,387,388.3333 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 55,162,165
-1 -55,162,165

Let's try dividing by 4:

55,162,165 ÷ 4 = 13,790,541.25

If the quotient is a whole number, then 4 and 13,790,541.25 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 55,162,165
-1 55,162,165
Keep dividing by the next highest number until you cannot divide anymore.

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

15231031155152,3694,65711,84523,285107,111479,671535,5552,398,35511,032,43355,162,165
-1-5-23-103-115-515-2,369-4,657-11,845-23,285-107,111-479,671-535,555-2,398,355-11,032,433-55,162,165

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