Q: What are the factor combinations of the number 1,104,125?

 A:
Positive:   1 x 11041255 x 22082511 x 10037525 x 4416555 x 2007573 x 15125121 x 9125125 x 8833275 x 4015365 x 3025605 x 1825803 x 1375
Negative: -1 x -1104125-5 x -220825-11 x -100375-25 x -44165-55 x -20075-73 x -15125-121 x -9125-125 x -8833-275 x -4015-365 x -3025-605 x -1825-803 x -1375


How do I find the factor combinations of the number 1,104,125?

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 1,104,125, 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 1,104,125
-1 -1,104,125

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 1,104,125.

Example:
1 x 1,104,125 = 1,104,125
and
-1 x -1,104,125 = 1,104,125
Notice both answers equal 1,104,125

With that explanation out of the way, let's continue. Next, we take the number 1,104,125 and divide it by 2:

1,104,125 ÷ 2 = 552,062.5

If the quotient is a whole number, then 2 and 552,062.5 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 1,104,125
-1 -1,104,125

Now, we try dividing 1,104,125 by 3:

1,104,125 ÷ 3 = 368,041.6667

If the quotient is a whole number, then 3 and 368,041.6667 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 1,104,125
-1 -1,104,125

Let's try dividing by 4:

1,104,125 ÷ 4 = 276,031.25

If the quotient is a whole number, then 4 and 276,031.25 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 1,104,125
-1 1,104,125
Keep dividing by the next highest number until you cannot divide anymore.

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

15112555731211252753656058031,3751,8253,0254,0158,8339,12515,12520,07544,165100,375220,8251,104,125
-1-5-11-25-55-73-121-125-275-365-605-803-1,375-1,825-3,025-4,015-8,833-9,125-15,125-20,075-44,165-100,375-220,825-1,104,125

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