Q: What are the factor combinations of the number 14,682,797?

 A:
Positive:   1 x 1468279741 x 358117157 x 935212281 x 6437
Negative: -1 x -14682797-41 x -358117-157 x -93521-2281 x -6437


How do I find the factor combinations of the number 14,682,797?

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 14,682,797, 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 14,682,797
-1 -14,682,797

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 14,682,797.

Example:
1 x 14,682,797 = 14,682,797
and
-1 x -14,682,797 = 14,682,797
Notice both answers equal 14,682,797

With that explanation out of the way, let's continue. Next, we take the number 14,682,797 and divide it by 2:

14,682,797 ÷ 2 = 7,341,398.5

If the quotient is a whole number, then 2 and 7,341,398.5 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 14,682,797
-1 -14,682,797

Now, we try dividing 14,682,797 by 3:

14,682,797 ÷ 3 = 4,894,265.6667

If the quotient is a whole number, then 3 and 4,894,265.6667 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 14,682,797
-1 -14,682,797

Let's try dividing by 4:

14,682,797 ÷ 4 = 3,670,699.25

If the quotient is a whole number, then 4 and 3,670,699.25 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 14,682,797
-1 14,682,797
Keep dividing by the next highest number until you cannot divide anymore.

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

1411572,2816,43793,521358,11714,682,797
-1-41-157-2,281-6,437-93,521-358,117-14,682,797

More Examples

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