Q: What are the factor combinations of the number 984,067?

 A:
Positive:   1 x 9840677 x 14058119 x 5179349 x 20083133 x 7399151 x 6517343 x 2869931 x 1057
Negative: -1 x -984067-7 x -140581-19 x -51793-49 x -20083-133 x -7399-151 x -6517-343 x -2869-931 x -1057


How do I find the factor combinations of the number 984,067?

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 984,067, 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.

1 984,067
-1 -984,067

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 984,067.

Example:
1 x 984,067 = 984,067
and
-1 x -984,067 = 984,067
Notice both answers equal 984,067

With that explanation out of the way, let's continue. Next, we take the number 984,067 and divide it by 2:

984,067 ÷ 2 = 492,033.5

If the quotient is a whole number, then 2 and 492,033.5 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:

1 984,067
-1 -984,067

Now, we try dividing 984,067 by 3:

984,067 ÷ 3 = 328,022.3333

If the quotient is a whole number, then 3 and 328,022.3333 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:

1 984,067
-1 -984,067

Let's try dividing by 4:

984,067 ÷ 4 = 246,016.75

If the quotient is a whole number, then 4 and 246,016.75 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:

1 984,067
-1 984,067
Keep dividing by the next highest number until you cannot divide anymore.

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

1719491331513439311,0572,8696,5177,39920,08351,793140,581984,067
-1-7-19-49-133-151-343-931-1,057-2,869-6,517-7,399-20,083-51,793-140,581-984,067

More Examples

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