Q: What are the factor combinations of the number 16,590,067?

 A:
Positive:   1 x 1659006713 x 1276159139 x 1193531807 x 9181
Negative: -1 x -16590067-13 x -1276159-139 x -119353-1807 x -9181


How do I find the factor combinations of the number 16,590,067?

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 16,590,067, 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 16,590,067
-1 -16,590,067

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 16,590,067.

Example:
1 x 16,590,067 = 16,590,067
and
-1 x -16,590,067 = 16,590,067
Notice both answers equal 16,590,067

With that explanation out of the way, let's continue. Next, we take the number 16,590,067 and divide it by 2:

16,590,067 ÷ 2 = 8,295,033.5

If the quotient is a whole number, then 2 and 8,295,033.5 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 16,590,067
-1 -16,590,067

Now, we try dividing 16,590,067 by 3:

16,590,067 ÷ 3 = 5,530,022.3333

If the quotient is a whole number, then 3 and 5,530,022.3333 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 16,590,067
-1 -16,590,067

Let's try dividing by 4:

16,590,067 ÷ 4 = 4,147,516.75

If the quotient is a whole number, then 4 and 4,147,516.75 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 16,590,067
-1 16,590,067
Keep dividing by the next highest number until you cannot divide anymore.

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

1131391,8079,181119,3531,276,15916,590,067
-1-13-139-1,807-9,181-119,353-1,276,159-16,590,067

More Examples

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