Q: What are the factor combinations of the number 539,395?

 A:
Positive:   1 x 5393955 x 107879233 x 2315463 x 1165
Negative: -1 x -539395-5 x -107879-233 x -2315-463 x -1165


How do I find the factor combinations of the number 539,395?

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 539,395, 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.

1 539,395
-1 -539,395

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 539,395.

Example:
1 x 539,395 = 539,395
and
-1 x -539,395 = 539,395
Notice both answers equal 539,395

With that explanation out of the way, let's continue. Next, we take the number 539,395 and divide it by 2:

539,395 ÷ 2 = 269,697.5

If the quotient is a whole number, then 2 and 269,697.5 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:

1 539,395
-1 -539,395

Now, we try dividing 539,395 by 3:

539,395 ÷ 3 = 179,798.3333

If the quotient is a whole number, then 3 and 179,798.3333 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:

1 539,395
-1 -539,395

Let's try dividing by 4:

539,395 ÷ 4 = 134,848.75

If the quotient is a whole number, then 4 and 134,848.75 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:

1 539,395
-1 539,395
Keep dividing by the next highest number until you cannot divide anymore.

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

152334631,1652,315107,879539,395
-1-5-233-463-1,165-2,315-107,879-539,395

More Examples

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