Q: What are the factor combinations of the number 36,363,085?

 A:
Positive:   1 x 363630855 x 727261711 x 330573517 x 213900555 x 66114785 x 427801187 x 194455935 x 38891
Negative: -1 x -36363085-5 x -7272617-11 x -3305735-17 x -2139005-55 x -661147-85 x -427801-187 x -194455-935 x -38891


How do I find the factor combinations of the number 36,363,085?

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 36,363,085, 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 36,363,085
-1 -36,363,085

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 36,363,085.

Example:
1 x 36,363,085 = 36,363,085
and
-1 x -36,363,085 = 36,363,085
Notice both answers equal 36,363,085

With that explanation out of the way, let's continue. Next, we take the number 36,363,085 and divide it by 2:

36,363,085 ÷ 2 = 18,181,542.5

If the quotient is a whole number, then 2 and 18,181,542.5 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 36,363,085
-1 -36,363,085

Now, we try dividing 36,363,085 by 3:

36,363,085 ÷ 3 = 12,121,028.3333

If the quotient is a whole number, then 3 and 12,121,028.3333 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 36,363,085
-1 -36,363,085

Let's try dividing by 4:

36,363,085 ÷ 4 = 9,090,771.25

If the quotient is a whole number, then 4 and 9,090,771.25 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 36,363,085
-1 36,363,085
Keep dividing by the next highest number until you cannot divide anymore.

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

151117558518793538,891194,455427,801661,1472,139,0053,305,7357,272,61736,363,085
-1-5-11-17-55-85-187-935-38,891-194,455-427,801-661,147-2,139,005-3,305,735-7,272,617-36,363,085

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