Q: What are the factor combinations of the number 494,585?

 A:
Positive:   1 x 4945855 x 989177 x 7065513 x 3804535 x 1413165 x 760991 x 5435455 x 1087
Negative: -1 x -494585-5 x -98917-7 x -70655-13 x -38045-35 x -14131-65 x -7609-91 x -5435-455 x -1087


How do I find the factor combinations of the number 494,585?

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 494,585, 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.

1 494,585
-1 -494,585

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 494,585.

Example:
1 x 494,585 = 494,585
and
-1 x -494,585 = 494,585
Notice both answers equal 494,585

With that explanation out of the way, let's continue. Next, we take the number 494,585 and divide it by 2:

494,585 ÷ 2 = 247,292.5

If the quotient is a whole number, then 2 and 247,292.5 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:

1 494,585
-1 -494,585

Now, we try dividing 494,585 by 3:

494,585 ÷ 3 = 164,861.6667

If the quotient is a whole number, then 3 and 164,861.6667 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:

1 494,585
-1 -494,585

Let's try dividing by 4:

494,585 ÷ 4 = 123,646.25

If the quotient is a whole number, then 4 and 123,646.25 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:

1 494,585
-1 494,585
Keep dividing by the next highest number until you cannot divide anymore.

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

157133565914551,0875,4357,60914,13138,04570,65598,917494,585
-1-5-7-13-35-65-91-455-1,087-5,435-7,609-14,131-38,045-70,655-98,917-494,585

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 494,585:


Ask a Question