Q: What are the factor combinations of the number 16,825,445?

 A:
Positive:   1 x 168254455 x 33650897 x 240363513 x 129426535 x 48072765 x 25885391 x 184895455 x 36979
Negative: -1 x -16825445-5 x -3365089-7 x -2403635-13 x -1294265-35 x -480727-65 x -258853-91 x -184895-455 x -36979


How do I find the factor combinations of the number 16,825,445?

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 16,825,445, 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 16,825,445
-1 -16,825,445

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 16,825,445.

Example:
1 x 16,825,445 = 16,825,445
and
-1 x -16,825,445 = 16,825,445
Notice both answers equal 16,825,445

With that explanation out of the way, let's continue. Next, we take the number 16,825,445 and divide it by 2:

16,825,445 ÷ 2 = 8,412,722.5

If the quotient is a whole number, then 2 and 8,412,722.5 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 16,825,445
-1 -16,825,445

Now, we try dividing 16,825,445 by 3:

16,825,445 ÷ 3 = 5,608,481.6667

If the quotient is a whole number, then 3 and 5,608,481.6667 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 16,825,445
-1 -16,825,445

Let's try dividing by 4:

16,825,445 ÷ 4 = 4,206,361.25

If the quotient is a whole number, then 4 and 4,206,361.25 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 16,825,445
-1 16,825,445
Keep dividing by the next highest number until you cannot divide anymore.

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

1571335659145536,979184,895258,853480,7271,294,2652,403,6353,365,08916,825,445
-1-5-7-13-35-65-91-455-36,979-184,895-258,853-480,727-1,294,265-2,403,635-3,365,089-16,825,445

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