Q: What are the factor combinations of the number 1,104,235?

 A:
Positive:   1 x 11042355 x 22084711 x 10038517 x 6495555 x 2007785 x 12991187 x 5905935 x 1181
Negative: -1 x -1104235-5 x -220847-11 x -100385-17 x -64955-55 x -20077-85 x -12991-187 x -5905-935 x -1181


How do I find the factor combinations of the number 1,104,235?

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 1,104,235, 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 1,104,235
-1 -1,104,235

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 1,104,235.

Example:
1 x 1,104,235 = 1,104,235
and
-1 x -1,104,235 = 1,104,235
Notice both answers equal 1,104,235

With that explanation out of the way, let's continue. Next, we take the number 1,104,235 and divide it by 2:

1,104,235 ÷ 2 = 552,117.5

If the quotient is a whole number, then 2 and 552,117.5 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 1,104,235
-1 -1,104,235

Now, we try dividing 1,104,235 by 3:

1,104,235 ÷ 3 = 368,078.3333

If the quotient is a whole number, then 3 and 368,078.3333 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 1,104,235
-1 -1,104,235

Let's try dividing by 4:

1,104,235 ÷ 4 = 276,058.75

If the quotient is a whole number, then 4 and 276,058.75 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 1,104,235
-1 1,104,235
Keep dividing by the next highest number until you cannot divide anymore.

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

15111755851879351,1815,90512,99120,07764,955100,385220,8471,104,235
-1-5-11-17-55-85-187-935-1,181-5,905-12,991-20,077-64,955-100,385-220,847-1,104,235

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