Q: What are the factor combinations of the number 183,179?

 A:
Positive:   1 x 18317919 x 964131 x 5909311 x 589
Negative: -1 x -183179-19 x -9641-31 x -5909-311 x -589


How do I find the factor combinations of the number 183,179?

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 183,179, 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.

1 183,179
-1 -183,179

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 183,179.

Example:
1 x 183,179 = 183,179
and
-1 x -183,179 = 183,179
Notice both answers equal 183,179

With that explanation out of the way, let's continue. Next, we take the number 183,179 and divide it by 2:

183,179 ÷ 2 = 91,589.5

If the quotient is a whole number, then 2 and 91,589.5 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:

1 183,179
-1 -183,179

Now, we try dividing 183,179 by 3:

183,179 ÷ 3 = 61,059.6667

If the quotient is a whole number, then 3 and 61,059.6667 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:

1 183,179
-1 -183,179

Let's try dividing by 4:

183,179 ÷ 4 = 45,794.75

If the quotient is a whole number, then 4 and 45,794.75 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:

1 183,179
-1 183,179
Keep dividing by the next highest number until you cannot divide anymore.

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

119313115895,9099,641183,179
-1-19-31-311-589-5,909-9,641-183,179

More Examples

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