Q: What are the factor combinations of the number 182,593?

 A:
Positive:   1 x 182593
Negative: -1 x -182593


How do I find the factor combinations of the number 182,593?

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 182,593, 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.

1 182,593
-1 -182,593

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 182,593.

Example:
1 x 182,593 = 182,593
and
-1 x -182,593 = 182,593
Notice both answers equal 182,593

With that explanation out of the way, let's continue. Next, we take the number 182,593 and divide it by 2:

182,593 ÷ 2 = 91,296.5

If the quotient is a whole number, then 2 and 91,296.5 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:

1 182,593
-1 -182,593

Now, we try dividing 182,593 by 3:

182,593 ÷ 3 = 60,864.3333

If the quotient is a whole number, then 3 and 60,864.3333 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:

1 182,593
-1 -182,593

Let's try dividing by 4:

182,593 ÷ 4 = 45,648.25

If the quotient is a whole number, then 4 and 45,648.25 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:

1 182,593
-1 182,593
Keep dividing by the next highest number until you cannot divide anymore.

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

1182,593
-1-182,593

More Examples

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