Q: What are the factor combinations of the number 182,699?

 A:
Positive:   1 x 18269911 x 1660917 x 10747187 x 977
Negative: -1 x -182699-11 x -16609-17 x -10747-187 x -977


How do I find the factor combinations of the number 182,699?

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 182,699, 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.

1 182,699
-1 -182,699

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 182,699.

Example:
1 x 182,699 = 182,699
and
-1 x -182,699 = 182,699
Notice both answers equal 182,699

With that explanation out of the way, let's continue. Next, we take the number 182,699 and divide it by 2:

182,699 ÷ 2 = 91,349.5

If the quotient is a whole number, then 2 and 91,349.5 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:

1 182,699
-1 -182,699

Now, we try dividing 182,699 by 3:

182,699 ÷ 3 = 60,899.6667

If the quotient is a whole number, then 3 and 60,899.6667 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:

1 182,699
-1 -182,699

Let's try dividing by 4:

182,699 ÷ 4 = 45,674.75

If the quotient is a whole number, then 4 and 45,674.75 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:

1 182,699
-1 182,699
Keep dividing by the next highest number until you cannot divide anymore.

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

1111718797710,74716,609182,699
-1-11-17-187-977-10,747-16,609-182,699

More Examples

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