Q: What are the factor combinations of the number 1,324,897?

 A:
Positive:   1 x 13248977 x 189271
Negative: -1 x -1324897-7 x -189271


How do I find the factor combinations of the number 1,324,897?

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 1,324,897, 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 1,324,897
-1 -1,324,897

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 1,324,897.

Example:
1 x 1,324,897 = 1,324,897
and
-1 x -1,324,897 = 1,324,897
Notice both answers equal 1,324,897

With that explanation out of the way, let's continue. Next, we take the number 1,324,897 and divide it by 2:

1,324,897 ÷ 2 = 662,448.5

If the quotient is a whole number, then 2 and 662,448.5 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 1,324,897
-1 -1,324,897

Now, we try dividing 1,324,897 by 3:

1,324,897 ÷ 3 = 441,632.3333

If the quotient is a whole number, then 3 and 441,632.3333 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 1,324,897
-1 -1,324,897

Let's try dividing by 4:

1,324,897 ÷ 4 = 331,224.25

If the quotient is a whole number, then 4 and 331,224.25 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 1,324,897
-1 1,324,897
Keep dividing by the next highest number until you cannot divide anymore.

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

17189,2711,324,897
-1-7-189,271-1,324,897

More Examples

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