Q: What are the factor combinations of the number 984,841?

 A:
Positive:   1 x 98484111 x 8953113 x 7575771 x 1387197 x 10153143 x 6887781 x 1261923 x 1067
Negative: -1 x -984841-11 x -89531-13 x -75757-71 x -13871-97 x -10153-143 x -6887-781 x -1261-923 x -1067


How do I find the factor combinations of the number 984,841?

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 984,841, 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.

1 984,841
-1 -984,841

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 984,841.

Example:
1 x 984,841 = 984,841
and
-1 x -984,841 = 984,841
Notice both answers equal 984,841

With that explanation out of the way, let's continue. Next, we take the number 984,841 and divide it by 2:

984,841 ÷ 2 = 492,420.5

If the quotient is a whole number, then 2 and 492,420.5 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:

1 984,841
-1 -984,841

Now, we try dividing 984,841 by 3:

984,841 ÷ 3 = 328,280.3333

If the quotient is a whole number, then 3 and 328,280.3333 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:

1 984,841
-1 -984,841

Let's try dividing by 4:

984,841 ÷ 4 = 246,210.25

If the quotient is a whole number, then 4 and 246,210.25 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:

1 984,841
-1 984,841
Keep dividing by the next highest number until you cannot divide anymore.

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

1111371971437819231,0671,2616,88710,15313,87175,75789,531984,841
-1-11-13-71-97-143-781-923-1,067-1,261-6,887-10,153-13,871-75,757-89,531-984,841

More Examples

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