Q: What are the factor combinations of the number 984,459?

 A:
Positive:   1 x 9844593 x 3281537 x 14063721 x 4687937 x 2660749 x 20091111 x 8869147 x 6697181 x 5439259 x 3801543 x 1813777 x 1267
Negative: -1 x -984459-3 x -328153-7 x -140637-21 x -46879-37 x -26607-49 x -20091-111 x -8869-147 x -6697-181 x -5439-259 x -3801-543 x -1813-777 x -1267


How do I find the factor combinations of the number 984,459?

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 984,459, 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.

1 984,459
-1 -984,459

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 984,459.

Example:
1 x 984,459 = 984,459
and
-1 x -984,459 = 984,459
Notice both answers equal 984,459

With that explanation out of the way, let's continue. Next, we take the number 984,459 and divide it by 2:

984,459 ÷ 2 = 492,229.5

If the quotient is a whole number, then 2 and 492,229.5 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:

1 984,459
-1 -984,459

Now, we try dividing 984,459 by 3:

984,459 ÷ 3 = 328,153

If the quotient is a whole number, then 3 and 328,153 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 3 328,153 984,459
-1 -3 -328,153 -984,459

Let's try dividing by 4:

984,459 ÷ 4 = 246,114.75

If the quotient is a whole number, then 4 and 246,114.75 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 3 328,153 984,459
-1 -3 -328,153 984,459
Keep dividing by the next highest number until you cannot divide anymore.

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

1372137491111471812595437771,2671,8133,8015,4396,6978,86920,09126,60746,879140,637328,153984,459
-1-3-7-21-37-49-111-147-181-259-543-777-1,267-1,813-3,801-5,439-6,697-8,869-20,091-26,607-46,879-140,637-328,153-984,459

More Examples

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