Q: What are the factor combinations of the number 1,263,125?

 A:
Positive:   1 x 12631255 x 25262525 x 5052543 x 2937547 x 26875125 x 10105215 x 5875235 x 5375625 x 20211075 x 1175
Negative: -1 x -1263125-5 x -252625-25 x -50525-43 x -29375-47 x -26875-125 x -10105-215 x -5875-235 x -5375-625 x -2021-1075 x -1175


How do I find the factor combinations of the number 1,263,125?

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 1,263,125, 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 1,263,125
-1 -1,263,125

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 1,263,125.

Example:
1 x 1,263,125 = 1,263,125
and
-1 x -1,263,125 = 1,263,125
Notice both answers equal 1,263,125

With that explanation out of the way, let's continue. Next, we take the number 1,263,125 and divide it by 2:

1,263,125 ÷ 2 = 631,562.5

If the quotient is a whole number, then 2 and 631,562.5 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 1,263,125
-1 -1,263,125

Now, we try dividing 1,263,125 by 3:

1,263,125 ÷ 3 = 421,041.6667

If the quotient is a whole number, then 3 and 421,041.6667 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 1,263,125
-1 -1,263,125

Let's try dividing by 4:

1,263,125 ÷ 4 = 315,781.25

If the quotient is a whole number, then 4 and 315,781.25 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 1,263,125
-1 1,263,125
Keep dividing by the next highest number until you cannot divide anymore.

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

152543471252152356251,0751,1752,0215,3755,87510,10526,87529,37550,525252,6251,263,125
-1-5-25-43-47-125-215-235-625-1,075-1,175-2,021-5,375-5,875-10,105-26,875-29,375-50,525-252,625-1,263,125

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