Q: What are the factor combinations of the number 9,626,027?

 A:
Positive:   1 x 962602719 x 50663331 x 31051759 x 163153277 x 34751589 x 163431121 x 85871829 x 5263
Negative: -1 x -9626027-19 x -506633-31 x -310517-59 x -163153-277 x -34751-589 x -16343-1121 x -8587-1829 x -5263


How do I find the factor combinations of the number 9,626,027?

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 9,626,027, 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 9,626,027
-1 -9,626,027

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 9,626,027.

Example:
1 x 9,626,027 = 9,626,027
and
-1 x -9,626,027 = 9,626,027
Notice both answers equal 9,626,027

With that explanation out of the way, let's continue. Next, we take the number 9,626,027 and divide it by 2:

9,626,027 ÷ 2 = 4,813,013.5

If the quotient is a whole number, then 2 and 4,813,013.5 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 9,626,027
-1 -9,626,027

Now, we try dividing 9,626,027 by 3:

9,626,027 ÷ 3 = 3,208,675.6667

If the quotient is a whole number, then 3 and 3,208,675.6667 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 9,626,027
-1 -9,626,027

Let's try dividing by 4:

9,626,027 ÷ 4 = 2,406,506.75

If the quotient is a whole number, then 4 and 2,406,506.75 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 9,626,027
-1 9,626,027
Keep dividing by the next highest number until you cannot divide anymore.

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

11931592775891,1211,8295,2638,58716,34334,751163,153310,517506,6339,626,027
-1-19-31-59-277-589-1,121-1,829-5,263-8,587-16,343-34,751-163,153-310,517-506,633-9,626,027

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