Q: What are the factor combinations of the number 492,575?

 A:
Positive:   1 x 4925755 x 9851517 x 2897519 x 2592525 x 1970361 x 807585 x 579595 x 5185305 x 1615323 x 1525425 x 1159475 x 1037
Negative: -1 x -492575-5 x -98515-17 x -28975-19 x -25925-25 x -19703-61 x -8075-85 x -5795-95 x -5185-305 x -1615-323 x -1525-425 x -1159-475 x -1037


How do I find the factor combinations of the number 492,575?

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 492,575, 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.

1 492,575
-1 -492,575

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 492,575.

Example:
1 x 492,575 = 492,575
and
-1 x -492,575 = 492,575
Notice both answers equal 492,575

With that explanation out of the way, let's continue. Next, we take the number 492,575 and divide it by 2:

492,575 ÷ 2 = 246,287.5

If the quotient is a whole number, then 2 and 246,287.5 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:

1 492,575
-1 -492,575

Now, we try dividing 492,575 by 3:

492,575 ÷ 3 = 164,191.6667

If the quotient is a whole number, then 3 and 164,191.6667 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:

1 492,575
-1 -492,575

Let's try dividing by 4:

492,575 ÷ 4 = 123,143.75

If the quotient is a whole number, then 4 and 123,143.75 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:

1 492,575
-1 492,575
Keep dividing by the next highest number until you cannot divide anymore.

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

151719256185953053234254751,0371,1591,5251,6155,1855,7958,07519,70325,92528,97598,515492,575
-1-5-17-19-25-61-85-95-305-323-425-475-1,037-1,159-1,525-1,615-5,185-5,795-8,075-19,703-25,925-28,975-98,515-492,575

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