Q: What are the factor combinations of the number 16,626,731?

 A:
Positive:   1 x 1662673111 x 151152117 x 97804359 x 281809121 x 137411137 x 121363187 x 88913649 x 256191003 x 165771507 x 110332057 x 80832329 x 7139
Negative: -1 x -16626731-11 x -1511521-17 x -978043-59 x -281809-121 x -137411-137 x -121363-187 x -88913-649 x -25619-1003 x -16577-1507 x -11033-2057 x -8083-2329 x -7139


How do I find the factor combinations of the number 16,626,731?

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 16,626,731, 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 16,626,731
-1 -16,626,731

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 16,626,731.

Example:
1 x 16,626,731 = 16,626,731
and
-1 x -16,626,731 = 16,626,731
Notice both answers equal 16,626,731

With that explanation out of the way, let's continue. Next, we take the number 16,626,731 and divide it by 2:

16,626,731 ÷ 2 = 8,313,365.5

If the quotient is a whole number, then 2 and 8,313,365.5 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 16,626,731
-1 -16,626,731

Now, we try dividing 16,626,731 by 3:

16,626,731 ÷ 3 = 5,542,243.6667

If the quotient is a whole number, then 3 and 5,542,243.6667 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 16,626,731
-1 -16,626,731

Let's try dividing by 4:

16,626,731 ÷ 4 = 4,156,682.75

If the quotient is a whole number, then 4 and 4,156,682.75 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 16,626,731
-1 16,626,731
Keep dividing by the next highest number until you cannot divide anymore.

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

11117591211371876491,0031,5072,0572,3297,1398,08311,03316,57725,61988,913121,363137,411281,809978,0431,511,52116,626,731
-1-11-17-59-121-137-187-649-1,003-1,507-2,057-2,329-7,139-8,083-11,033-16,577-25,619-88,913-121,363-137,411-281,809-978,043-1,511,521-16,626,731

More Examples

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