Q: What are the factor combinations of the number 1,200,815?

 A:
Positive:   1 x 12008155 x 2401637 x 17154511 x 10916535 x 3430955 x 2183377 x 15595385 x 3119
Negative: -1 x -1200815-5 x -240163-7 x -171545-11 x -109165-35 x -34309-55 x -21833-77 x -15595-385 x -3119


How do I find the factor combinations of the number 1,200,815?

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 1,200,815, 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 1,200,815
-1 -1,200,815

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 1,200,815.

Example:
1 x 1,200,815 = 1,200,815
and
-1 x -1,200,815 = 1,200,815
Notice both answers equal 1,200,815

With that explanation out of the way, let's continue. Next, we take the number 1,200,815 and divide it by 2:

1,200,815 ÷ 2 = 600,407.5

If the quotient is a whole number, then 2 and 600,407.5 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 1,200,815
-1 -1,200,815

Now, we try dividing 1,200,815 by 3:

1,200,815 ÷ 3 = 400,271.6667

If the quotient is a whole number, then 3 and 400,271.6667 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 1,200,815
-1 -1,200,815

Let's try dividing by 4:

1,200,815 ÷ 4 = 300,203.75

If the quotient is a whole number, then 4 and 300,203.75 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 1,200,815
-1 1,200,815
Keep dividing by the next highest number until you cannot divide anymore.

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

157113555773853,11915,59521,83334,309109,165171,545240,1631,200,815
-1-5-7-11-35-55-77-385-3,119-15,595-21,833-34,309-109,165-171,545-240,163-1,200,815

More Examples

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