Q: What are the factor combinations of the number 14,680,685?

 A:
Positive:   1 x 146806855 x 293613747 x 312355179 x 82015235 x 62471349 x 42065895 x 164031745 x 8413
Negative: -1 x -14680685-5 x -2936137-47 x -312355-179 x -82015-235 x -62471-349 x -42065-895 x -16403-1745 x -8413


How do I find the factor combinations of the number 14,680,685?

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 14,680,685, 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 14,680,685
-1 -14,680,685

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 14,680,685.

Example:
1 x 14,680,685 = 14,680,685
and
-1 x -14,680,685 = 14,680,685
Notice both answers equal 14,680,685

With that explanation out of the way, let's continue. Next, we take the number 14,680,685 and divide it by 2:

14,680,685 ÷ 2 = 7,340,342.5

If the quotient is a whole number, then 2 and 7,340,342.5 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 14,680,685
-1 -14,680,685

Now, we try dividing 14,680,685 by 3:

14,680,685 ÷ 3 = 4,893,561.6667

If the quotient is a whole number, then 3 and 4,893,561.6667 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 14,680,685
-1 -14,680,685

Let's try dividing by 4:

14,680,685 ÷ 4 = 3,670,171.25

If the quotient is a whole number, then 4 and 3,670,171.25 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 14,680,685
-1 14,680,685
Keep dividing by the next highest number until you cannot divide anymore.

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

15471792353498951,7458,41316,40342,06562,47182,015312,3552,936,13714,680,685
-1-5-47-179-235-349-895-1,745-8,413-16,403-42,065-62,471-82,015-312,355-2,936,137-14,680,685

More Examples

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