Q: What are the factor combinations of the number 18,230,683?

 A:
Positive:   1 x 18230683151 x 120733157 x 116119769 x 23707
Negative: -1 x -18230683-151 x -120733-157 x -116119-769 x -23707


How do I find the factor combinations of the number 18,230,683?

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 18,230,683, 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 18,230,683
-1 -18,230,683

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 18,230,683.

Example:
1 x 18,230,683 = 18,230,683
and
-1 x -18,230,683 = 18,230,683
Notice both answers equal 18,230,683

With that explanation out of the way, let's continue. Next, we take the number 18,230,683 and divide it by 2:

18,230,683 ÷ 2 = 9,115,341.5

If the quotient is a whole number, then 2 and 9,115,341.5 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 18,230,683
-1 -18,230,683

Now, we try dividing 18,230,683 by 3:

18,230,683 ÷ 3 = 6,076,894.3333

If the quotient is a whole number, then 3 and 6,076,894.3333 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 18,230,683
-1 -18,230,683

Let's try dividing by 4:

18,230,683 ÷ 4 = 4,557,670.75

If the quotient is a whole number, then 4 and 4,557,670.75 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 18,230,683
-1 18,230,683
Keep dividing by the next highest number until you cannot divide anymore.

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

115115776923,707116,119120,73318,230,683
-1-151-157-769-23,707-116,119-120,733-18,230,683

More Examples

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