Q: What are the factor combinations of the number 15,388,955?

 A:
Positive:   1 x 153889555 x 307779119 x 80994523 x 66908595 x 161989115 x 133817437 x 352152185 x 7043
Negative: -1 x -15388955-5 x -3077791-19 x -809945-23 x -669085-95 x -161989-115 x -133817-437 x -35215-2185 x -7043


How do I find the factor combinations of the number 15,388,955?

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 15,388,955, 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 15,388,955
-1 -15,388,955

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 15,388,955.

Example:
1 x 15,388,955 = 15,388,955
and
-1 x -15,388,955 = 15,388,955
Notice both answers equal 15,388,955

With that explanation out of the way, let's continue. Next, we take the number 15,388,955 and divide it by 2:

15,388,955 ÷ 2 = 7,694,477.5

If the quotient is a whole number, then 2 and 7,694,477.5 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 15,388,955
-1 -15,388,955

Now, we try dividing 15,388,955 by 3:

15,388,955 ÷ 3 = 5,129,651.6667

If the quotient is a whole number, then 3 and 5,129,651.6667 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 15,388,955
-1 -15,388,955

Let's try dividing by 4:

15,388,955 ÷ 4 = 3,847,238.75

If the quotient is a whole number, then 4 and 3,847,238.75 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 15,388,955
-1 15,388,955
Keep dividing by the next highest number until you cannot divide anymore.

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

151923951154372,1857,04335,215133,817161,989669,085809,9453,077,79115,388,955
-1-5-19-23-95-115-437-2,185-7,043-35,215-133,817-161,989-669,085-809,945-3,077,791-15,388,955

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