Q: What are the factor combinations of the number 16,930,331?

 A:
Positive:   1 x 1693033111 x 1539121653 x 259272357 x 7183
Negative: -1 x -16930331-11 x -1539121-653 x -25927-2357 x -7183


How do I find the factor combinations of the number 16,930,331?

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 16,930,331, 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 16,930,331
-1 -16,930,331

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 16,930,331.

Example:
1 x 16,930,331 = 16,930,331
and
-1 x -16,930,331 = 16,930,331
Notice both answers equal 16,930,331

With that explanation out of the way, let's continue. Next, we take the number 16,930,331 and divide it by 2:

16,930,331 ÷ 2 = 8,465,165.5

If the quotient is a whole number, then 2 and 8,465,165.5 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 16,930,331
-1 -16,930,331

Now, we try dividing 16,930,331 by 3:

16,930,331 ÷ 3 = 5,643,443.6667

If the quotient is a whole number, then 3 and 5,643,443.6667 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 16,930,331
-1 -16,930,331

Let's try dividing by 4:

16,930,331 ÷ 4 = 4,232,582.75

If the quotient is a whole number, then 4 and 4,232,582.75 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 16,930,331
-1 16,930,331
Keep dividing by the next highest number until you cannot divide anymore.

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

1116532,3577,18325,9271,539,12116,930,331
-1-11-653-2,357-7,183-25,927-1,539,121-16,930,331

More Examples

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