Q: What are the factor combinations of the number 16,813,391?

 A:
Positive:   1 x 168133917 x 240191317 x 98902323 x 731017119 x 141289161 x 104431391 x 430012737 x 6143
Negative: -1 x -16813391-7 x -2401913-17 x -989023-23 x -731017-119 x -141289-161 x -104431-391 x -43001-2737 x -6143


How do I find the factor combinations of the number 16,813,391?

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 16,813,391, 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 16,813,391
-1 -16,813,391

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 16,813,391.

Example:
1 x 16,813,391 = 16,813,391
and
-1 x -16,813,391 = 16,813,391
Notice both answers equal 16,813,391

With that explanation out of the way, let's continue. Next, we take the number 16,813,391 and divide it by 2:

16,813,391 ÷ 2 = 8,406,695.5

If the quotient is a whole number, then 2 and 8,406,695.5 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 16,813,391
-1 -16,813,391

Now, we try dividing 16,813,391 by 3:

16,813,391 ÷ 3 = 5,604,463.6667

If the quotient is a whole number, then 3 and 5,604,463.6667 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 16,813,391
-1 -16,813,391

Let's try dividing by 4:

16,813,391 ÷ 4 = 4,203,347.75

If the quotient is a whole number, then 4 and 4,203,347.75 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 16,813,391
-1 16,813,391
Keep dividing by the next highest number until you cannot divide anymore.

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

1717231191613912,7376,14343,001104,431141,289731,017989,0232,401,91316,813,391
-1-7-17-23-119-161-391-2,737-6,143-43,001-104,431-141,289-731,017-989,023-2,401,913-16,813,391

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