Q: What are the factor combinations of the number 494,285?

 A:
Positive:   1 x 4942855 x 9885711 x 4493519 x 2601543 x 1149555 x 898795 x 5203121 x 4085209 x 2365215 x 2299473 x 1045605 x 817
Negative: -1 x -494285-5 x -98857-11 x -44935-19 x -26015-43 x -11495-55 x -8987-95 x -5203-121 x -4085-209 x -2365-215 x -2299-473 x -1045-605 x -817


How do I find the factor combinations of the number 494,285?

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 494,285, 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.

1 494,285
-1 -494,285

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 494,285.

Example:
1 x 494,285 = 494,285
and
-1 x -494,285 = 494,285
Notice both answers equal 494,285

With that explanation out of the way, let's continue. Next, we take the number 494,285 and divide it by 2:

494,285 ÷ 2 = 247,142.5

If the quotient is a whole number, then 2 and 247,142.5 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:

1 494,285
-1 -494,285

Now, we try dividing 494,285 by 3:

494,285 ÷ 3 = 164,761.6667

If the quotient is a whole number, then 3 and 164,761.6667 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:

1 494,285
-1 -494,285

Let's try dividing by 4:

494,285 ÷ 4 = 123,571.25

If the quotient is a whole number, then 4 and 123,571.25 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:

1 494,285
-1 494,285
Keep dividing by the next highest number until you cannot divide anymore.

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

1511194355951212092154736058171,0452,2992,3654,0855,2038,98711,49526,01544,93598,857494,285
-1-5-11-19-43-55-95-121-209-215-473-605-817-1,045-2,299-2,365-4,085-5,203-8,987-11,495-26,015-44,935-98,857-494,285

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