Q: What are the factor combinations of the number 17,018,855?

 A:
Positive:   1 x 170188555 x 34037717 x 243126535 x 48625373 x 233135365 x 46627511 x 333052555 x 6661
Negative: -1 x -17018855-5 x -3403771-7 x -2431265-35 x -486253-73 x -233135-365 x -46627-511 x -33305-2555 x -6661


How do I find the factor combinations of the number 17,018,855?

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 17,018,855, 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 17,018,855
-1 -17,018,855

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 17,018,855.

Example:
1 x 17,018,855 = 17,018,855
and
-1 x -17,018,855 = 17,018,855
Notice both answers equal 17,018,855

With that explanation out of the way, let's continue. Next, we take the number 17,018,855 and divide it by 2:

17,018,855 ÷ 2 = 8,509,427.5

If the quotient is a whole number, then 2 and 8,509,427.5 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 17,018,855
-1 -17,018,855

Now, we try dividing 17,018,855 by 3:

17,018,855 ÷ 3 = 5,672,951.6667

If the quotient is a whole number, then 3 and 5,672,951.6667 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 17,018,855
-1 -17,018,855

Let's try dividing by 4:

17,018,855 ÷ 4 = 4,254,713.75

If the quotient is a whole number, then 4 and 4,254,713.75 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 17,018,855
-1 17,018,855
Keep dividing by the next highest number until you cannot divide anymore.

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

15735733655112,5556,66133,30546,627233,135486,2532,431,2653,403,77117,018,855
-1-5-7-35-73-365-511-2,555-6,661-33,305-46,627-233,135-486,253-2,431,265-3,403,771-17,018,855

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