Q: What are the factor combinations of the number 1,208,135?

 A:
Positive:   1 x 12081355 x 24162747 x 2570553 x 2279597 x 12455235 x 5141265 x 4559485 x 2491
Negative: -1 x -1208135-5 x -241627-47 x -25705-53 x -22795-97 x -12455-235 x -5141-265 x -4559-485 x -2491


How do I find the factor combinations of the number 1,208,135?

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 1,208,135, 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 1,208,135
-1 -1,208,135

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 1,208,135.

Example:
1 x 1,208,135 = 1,208,135
and
-1 x -1,208,135 = 1,208,135
Notice both answers equal 1,208,135

With that explanation out of the way, let's continue. Next, we take the number 1,208,135 and divide it by 2:

1,208,135 ÷ 2 = 604,067.5

If the quotient is a whole number, then 2 and 604,067.5 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 1,208,135
-1 -1,208,135

Now, we try dividing 1,208,135 by 3:

1,208,135 ÷ 3 = 402,711.6667

If the quotient is a whole number, then 3 and 402,711.6667 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 1,208,135
-1 -1,208,135

Let's try dividing by 4:

1,208,135 ÷ 4 = 302,033.75

If the quotient is a whole number, then 4 and 302,033.75 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 1,208,135
-1 1,208,135
Keep dividing by the next highest number until you cannot divide anymore.

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

154753972352654852,4914,5595,14112,45522,79525,705241,6271,208,135
-1-5-47-53-97-235-265-485-2,491-4,559-5,141-12,455-22,795-25,705-241,627-1,208,135

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