Q: What are the factor combinations of the number 841,049?

 A:
Positive:   1 x 84104911 x 76459157 x 5357487 x 1727
Negative: -1 x -841049-11 x -76459-157 x -5357-487 x -1727


How do I find the factor combinations of the number 841,049?

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 841,049, 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.

1 841,049
-1 -841,049

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 841,049.

Example:
1 x 841,049 = 841,049
and
-1 x -841,049 = 841,049
Notice both answers equal 841,049

With that explanation out of the way, let's continue. Next, we take the number 841,049 and divide it by 2:

841,049 ÷ 2 = 420,524.5

If the quotient is a whole number, then 2 and 420,524.5 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:

1 841,049
-1 -841,049

Now, we try dividing 841,049 by 3:

841,049 ÷ 3 = 280,349.6667

If the quotient is a whole number, then 3 and 280,349.6667 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:

1 841,049
-1 -841,049

Let's try dividing by 4:

841,049 ÷ 4 = 210,262.25

If the quotient is a whole number, then 4 and 210,262.25 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:

1 841,049
-1 841,049
Keep dividing by the next highest number until you cannot divide anymore.

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

1111574871,7275,35776,459841,049
-1-11-157-487-1,727-5,357-76,459-841,049

More Examples

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