Q: What are the factor combinations of the number 183,413?

 A:
Positive:   1 x 18341317 x 10789
Negative: -1 x -183413-17 x -10789


How do I find the factor combinations of the number 183,413?

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 183,413, 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.

1 183,413
-1 -183,413

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 183,413.

Example:
1 x 183,413 = 183,413
and
-1 x -183,413 = 183,413
Notice both answers equal 183,413

With that explanation out of the way, let's continue. Next, we take the number 183,413 and divide it by 2:

183,413 ÷ 2 = 91,706.5

If the quotient is a whole number, then 2 and 91,706.5 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:

1 183,413
-1 -183,413

Now, we try dividing 183,413 by 3:

183,413 ÷ 3 = 61,137.6667

If the quotient is a whole number, then 3 and 61,137.6667 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:

1 183,413
-1 -183,413

Let's try dividing by 4:

183,413 ÷ 4 = 45,853.25

If the quotient is a whole number, then 4 and 45,853.25 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:

1 183,413
-1 183,413
Keep dividing by the next highest number until you cannot divide anymore.

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

11710,789183,413
-1-17-10,789-183,413

More Examples

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