Q: What are the factor combinations of the number 16,078,825?

 A:
Positive:   1 x 160788255 x 32157657 x 229697525 x 64315335 x 459395139 x 115675175 x 91879661 x 24325695 x 23135973 x 165253305 x 48653475 x 4627
Negative: -1 x -16078825-5 x -3215765-7 x -2296975-25 x -643153-35 x -459395-139 x -115675-175 x -91879-661 x -24325-695 x -23135-973 x -16525-3305 x -4865-3475 x -4627


How do I find the factor combinations of the number 16,078,825?

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 16,078,825, 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 16,078,825
-1 -16,078,825

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 16,078,825.

Example:
1 x 16,078,825 = 16,078,825
and
-1 x -16,078,825 = 16,078,825
Notice both answers equal 16,078,825

With that explanation out of the way, let's continue. Next, we take the number 16,078,825 and divide it by 2:

16,078,825 ÷ 2 = 8,039,412.5

If the quotient is a whole number, then 2 and 8,039,412.5 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 16,078,825
-1 -16,078,825

Now, we try dividing 16,078,825 by 3:

16,078,825 ÷ 3 = 5,359,608.3333

If the quotient is a whole number, then 3 and 5,359,608.3333 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 16,078,825
-1 -16,078,825

Let's try dividing by 4:

16,078,825 ÷ 4 = 4,019,706.25

If the quotient is a whole number, then 4 and 4,019,706.25 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 16,078,825
-1 16,078,825
Keep dividing by the next highest number until you cannot divide anymore.

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

15725351391756616959733,3053,4754,6274,86516,52523,13524,32591,879115,675459,395643,1532,296,9753,215,76516,078,825
-1-5-7-25-35-139-175-661-695-973-3,305-3,475-4,627-4,865-16,525-23,135-24,325-91,879-115,675-459,395-643,153-2,296,975-3,215,765-16,078,825

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