Q: What are the factor combinations of the number 16,807,739?

 A:
Positive:   1 x 1680773913 x 129290373 x 23024389 x 188851199 x 84461949 x 177111157 x 145272587 x 6497
Negative: -1 x -16807739-13 x -1292903-73 x -230243-89 x -188851-199 x -84461-949 x -17711-1157 x -14527-2587 x -6497


How do I find the factor combinations of the number 16,807,739?

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 16,807,739, 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 16,807,739
-1 -16,807,739

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 16,807,739.

Example:
1 x 16,807,739 = 16,807,739
and
-1 x -16,807,739 = 16,807,739
Notice both answers equal 16,807,739

With that explanation out of the way, let's continue. Next, we take the number 16,807,739 and divide it by 2:

16,807,739 ÷ 2 = 8,403,869.5

If the quotient is a whole number, then 2 and 8,403,869.5 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 16,807,739
-1 -16,807,739

Now, we try dividing 16,807,739 by 3:

16,807,739 ÷ 3 = 5,602,579.6667

If the quotient is a whole number, then 3 and 5,602,579.6667 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 16,807,739
-1 -16,807,739

Let's try dividing by 4:

16,807,739 ÷ 4 = 4,201,934.75

If the quotient is a whole number, then 4 and 4,201,934.75 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 16,807,739
-1 16,807,739
Keep dividing by the next highest number until you cannot divide anymore.

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

11373891999491,1572,5876,49714,52717,71184,461188,851230,2431,292,90316,807,739
-1-13-73-89-199-949-1,157-2,587-6,497-14,527-17,711-84,461-188,851-230,243-1,292,903-16,807,739

More Examples

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