Q: What are the factor combinations of the number 994,825?

 A:
Positive:   1 x 9948255 x 19896513 x 7652525 x 3979365 x 15305325 x 3061
Negative: -1 x -994825-5 x -198965-13 x -76525-25 x -39793-65 x -15305-325 x -3061


How do I find the factor combinations of the number 994,825?

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 994,825, 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.

1 994,825
-1 -994,825

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 994,825.

Example:
1 x 994,825 = 994,825
and
-1 x -994,825 = 994,825
Notice both answers equal 994,825

With that explanation out of the way, let's continue. Next, we take the number 994,825 and divide it by 2:

994,825 ÷ 2 = 497,412.5

If the quotient is a whole number, then 2 and 497,412.5 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:

1 994,825
-1 -994,825

Now, we try dividing 994,825 by 3:

994,825 ÷ 3 = 331,608.3333

If the quotient is a whole number, then 3 and 331,608.3333 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:

1 994,825
-1 -994,825

Let's try dividing by 4:

994,825 ÷ 4 = 248,706.25

If the quotient is a whole number, then 4 and 248,706.25 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:

1 994,825
-1 994,825
Keep dividing by the next highest number until you cannot divide anymore.

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

151325653253,06115,30539,79376,525198,965994,825
-1-5-13-25-65-325-3,061-15,305-39,793-76,525-198,965-994,825

More Examples

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