Q: What are the factor combinations of the number 13,456,855?

 A:
Positive:   1 x 134568555 x 2691371107 x 125765535 x 25153
Negative: -1 x -13456855-5 x -2691371-107 x -125765-535 x -25153


How do I find the factor combinations of the number 13,456,855?

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 13,456,855, 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 13,456,855
-1 -13,456,855

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 13,456,855.

Example:
1 x 13,456,855 = 13,456,855
and
-1 x -13,456,855 = 13,456,855
Notice both answers equal 13,456,855

With that explanation out of the way, let's continue. Next, we take the number 13,456,855 and divide it by 2:

13,456,855 ÷ 2 = 6,728,427.5

If the quotient is a whole number, then 2 and 6,728,427.5 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 13,456,855
-1 -13,456,855

Now, we try dividing 13,456,855 by 3:

13,456,855 ÷ 3 = 4,485,618.3333

If the quotient is a whole number, then 3 and 4,485,618.3333 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 13,456,855
-1 -13,456,855

Let's try dividing by 4:

13,456,855 ÷ 4 = 3,364,213.75

If the quotient is a whole number, then 4 and 3,364,213.75 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 13,456,855
-1 13,456,855
Keep dividing by the next highest number until you cannot divide anymore.

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

1510753525,153125,7652,691,37113,456,855
-1-5-107-535-25,153-125,765-2,691,371-13,456,855

More Examples

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