Q: What are the factor combinations of the number 1,204,165?

 A:
Positive:   1 x 12041655 x 24083323 x 5235537 x 32545115 x 10471185 x 6509283 x 4255851 x 1415
Negative: -1 x -1204165-5 x -240833-23 x -52355-37 x -32545-115 x -10471-185 x -6509-283 x -4255-851 x -1415


How do I find the factor combinations of the number 1,204,165?

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 1,204,165, 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 1,204,165
-1 -1,204,165

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 1,204,165.

Example:
1 x 1,204,165 = 1,204,165
and
-1 x -1,204,165 = 1,204,165
Notice both answers equal 1,204,165

With that explanation out of the way, let's continue. Next, we take the number 1,204,165 and divide it by 2:

1,204,165 ÷ 2 = 602,082.5

If the quotient is a whole number, then 2 and 602,082.5 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 1,204,165
-1 -1,204,165

Now, we try dividing 1,204,165 by 3:

1,204,165 ÷ 3 = 401,388.3333

If the quotient is a whole number, then 3 and 401,388.3333 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 1,204,165
-1 -1,204,165

Let's try dividing by 4:

1,204,165 ÷ 4 = 301,041.25

If the quotient is a whole number, then 4 and 301,041.25 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 1,204,165
-1 1,204,165
Keep dividing by the next highest number until you cannot divide anymore.

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

1523371151852838511,4154,2556,50910,47132,54552,355240,8331,204,165
-1-5-23-37-115-185-283-851-1,415-4,255-6,509-10,471-32,545-52,355-240,833-1,204,165

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