Q: What are the factor combinations of the number 1,324,925?

 A:
Positive:   1 x 13249255 x 2649857 x 18927525 x 5299735 x 3785567 x 19775113 x 11725175 x 7571335 x 3955469 x 2825565 x 2345791 x 1675
Negative: -1 x -1324925-5 x -264985-7 x -189275-25 x -52997-35 x -37855-67 x -19775-113 x -11725-175 x -7571-335 x -3955-469 x -2825-565 x -2345-791 x -1675


How do I find the factor combinations of the number 1,324,925?

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 1,324,925, 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 1,324,925
-1 -1,324,925

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 1,324,925.

Example:
1 x 1,324,925 = 1,324,925
and
-1 x -1,324,925 = 1,324,925
Notice both answers equal 1,324,925

With that explanation out of the way, let's continue. Next, we take the number 1,324,925 and divide it by 2:

1,324,925 ÷ 2 = 662,462.5

If the quotient is a whole number, then 2 and 662,462.5 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 1,324,925
-1 -1,324,925

Now, we try dividing 1,324,925 by 3:

1,324,925 ÷ 3 = 441,641.6667

If the quotient is a whole number, then 3 and 441,641.6667 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 1,324,925
-1 -1,324,925

Let's try dividing by 4:

1,324,925 ÷ 4 = 331,231.25

If the quotient is a whole number, then 4 and 331,231.25 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 1,324,925
-1 1,324,925
Keep dividing by the next highest number until you cannot divide anymore.

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

1572535671131753354695657911,6752,3452,8253,9557,57111,72519,77537,85552,997189,275264,9851,324,925
-1-5-7-25-35-67-113-175-335-469-565-791-1,675-2,345-2,825-3,955-7,571-11,725-19,775-37,855-52,997-189,275-264,985-1,324,925

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