Q: What are the factor combinations of the number 1,328,485?

 A:
Positive:   1 x 13284855 x 26569737 x 3590543 x 30895167 x 7955185 x 7181215 x 6179835 x 1591
Negative: -1 x -1328485-5 x -265697-37 x -35905-43 x -30895-167 x -7955-185 x -7181-215 x -6179-835 x -1591


How do I find the factor combinations of the number 1,328,485?

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 1,328,485, 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 1,328,485
-1 -1,328,485

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 1,328,485.

Example:
1 x 1,328,485 = 1,328,485
and
-1 x -1,328,485 = 1,328,485
Notice both answers equal 1,328,485

With that explanation out of the way, let's continue. Next, we take the number 1,328,485 and divide it by 2:

1,328,485 ÷ 2 = 664,242.5

If the quotient is a whole number, then 2 and 664,242.5 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 1,328,485
-1 -1,328,485

Now, we try dividing 1,328,485 by 3:

1,328,485 ÷ 3 = 442,828.3333

If the quotient is a whole number, then 3 and 442,828.3333 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 1,328,485
-1 -1,328,485

Let's try dividing by 4:

1,328,485 ÷ 4 = 332,121.25

If the quotient is a whole number, then 4 and 332,121.25 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 1,328,485
-1 1,328,485
Keep dividing by the next highest number until you cannot divide anymore.

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

1537431671852158351,5916,1797,1817,95530,89535,905265,6971,328,485
-1-5-37-43-167-185-215-835-1,591-6,179-7,181-7,955-30,895-35,905-265,697-1,328,485

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