Q: What are the factor combinations of the number 14,360,855?

 A:
Positive:   1 x 143608555 x 287217123 x 624385115 x 124877151 x 95105755 x 19021827 x 173653473 x 4135
Negative: -1 x -14360855-5 x -2872171-23 x -624385-115 x -124877-151 x -95105-755 x -19021-827 x -17365-3473 x -4135


How do I find the factor combinations of the number 14,360,855?

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 14,360,855, 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 14,360,855
-1 -14,360,855

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 14,360,855.

Example:
1 x 14,360,855 = 14,360,855
and
-1 x -14,360,855 = 14,360,855
Notice both answers equal 14,360,855

With that explanation out of the way, let's continue. Next, we take the number 14,360,855 and divide it by 2:

14,360,855 ÷ 2 = 7,180,427.5

If the quotient is a whole number, then 2 and 7,180,427.5 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 14,360,855
-1 -14,360,855

Now, we try dividing 14,360,855 by 3:

14,360,855 ÷ 3 = 4,786,951.6667

If the quotient is a whole number, then 3 and 4,786,951.6667 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 14,360,855
-1 -14,360,855

Let's try dividing by 4:

14,360,855 ÷ 4 = 3,590,213.75

If the quotient is a whole number, then 4 and 3,590,213.75 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 14,360,855
-1 14,360,855
Keep dividing by the next highest number until you cannot divide anymore.

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

15231151517558273,4734,13517,36519,02195,105124,877624,3852,872,17114,360,855
-1-5-23-115-151-755-827-3,473-4,135-17,365-19,021-95,105-124,877-624,385-2,872,171-14,360,855

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