Q: What are the factor combinations of the number 1,199,485?

 A:
Positive:   1 x 11994855 x 2398977 x 17135535 x 3427143 x 27895215 x 5579301 x 3985797 x 1505
Negative: -1 x -1199485-5 x -239897-7 x -171355-35 x -34271-43 x -27895-215 x -5579-301 x -3985-797 x -1505


How do I find the factor combinations of the number 1,199,485?

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 1,199,485, 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 1,199,485
-1 -1,199,485

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 1,199,485.

Example:
1 x 1,199,485 = 1,199,485
and
-1 x -1,199,485 = 1,199,485
Notice both answers equal 1,199,485

With that explanation out of the way, let's continue. Next, we take the number 1,199,485 and divide it by 2:

1,199,485 ÷ 2 = 599,742.5

If the quotient is a whole number, then 2 and 599,742.5 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 1,199,485
-1 -1,199,485

Now, we try dividing 1,199,485 by 3:

1,199,485 ÷ 3 = 399,828.3333

If the quotient is a whole number, then 3 and 399,828.3333 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 1,199,485
-1 -1,199,485

Let's try dividing by 4:

1,199,485 ÷ 4 = 299,871.25

If the quotient is a whole number, then 4 and 299,871.25 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 1,199,485
-1 1,199,485
Keep dividing by the next highest number until you cannot divide anymore.

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

15735432153017971,5053,9855,57927,89534,271171,355239,8971,199,485
-1-5-7-35-43-215-301-797-1,505-3,985-5,579-27,895-34,271-171,355-239,897-1,199,485

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