Q: What are the factor combinations of the number 16,749,485?

 A:
Positive:   1 x 167494855 x 334989773 x 229445109 x 153665365 x 45889421 x 39785545 x 307332105 x 7957
Negative: -1 x -16749485-5 x -3349897-73 x -229445-109 x -153665-365 x -45889-421 x -39785-545 x -30733-2105 x -7957


How do I find the factor combinations of the number 16,749,485?

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 16,749,485, 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 16,749,485
-1 -16,749,485

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 16,749,485.

Example:
1 x 16,749,485 = 16,749,485
and
-1 x -16,749,485 = 16,749,485
Notice both answers equal 16,749,485

With that explanation out of the way, let's continue. Next, we take the number 16,749,485 and divide it by 2:

16,749,485 ÷ 2 = 8,374,742.5

If the quotient is a whole number, then 2 and 8,374,742.5 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 16,749,485
-1 -16,749,485

Now, we try dividing 16,749,485 by 3:

16,749,485 ÷ 3 = 5,583,161.6667

If the quotient is a whole number, then 3 and 5,583,161.6667 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 16,749,485
-1 -16,749,485

Let's try dividing by 4:

16,749,485 ÷ 4 = 4,187,371.25

If the quotient is a whole number, then 4 and 4,187,371.25 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 16,749,485
-1 16,749,485
Keep dividing by the next highest number until you cannot divide anymore.

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

15731093654215452,1057,95730,73339,78545,889153,665229,4453,349,89716,749,485
-1-5-73-109-365-421-545-2,105-7,957-30,733-39,785-45,889-153,665-229,445-3,349,897-16,749,485

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