Q: What are the factor combinations of the number 16,016,644?

 A:
Positive:   1 x 160166442 x 80083224 x 40041617 x 228809214 x 114404628 x 572023
Negative: -1 x -16016644-2 x -8008322-4 x -4004161-7 x -2288092-14 x -1144046-28 x -572023


How do I find the factor combinations of the number 16,016,644?

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 16,016,644, 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 16,016,644
-1 -16,016,644

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 16,016,644.

Example:
1 x 16,016,644 = 16,016,644
and
-1 x -16,016,644 = 16,016,644
Notice both answers equal 16,016,644

With that explanation out of the way, let's continue. Next, we take the number 16,016,644 and divide it by 2:

16,016,644 ÷ 2 = 8,008,322

If the quotient is a whole number, then 2 and 8,008,322 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 8,008,322 16,016,644
-1 -2 -8,008,322 -16,016,644

Now, we try dividing 16,016,644 by 3:

16,016,644 ÷ 3 = 5,338,881.3333

If the quotient is a whole number, then 3 and 5,338,881.3333 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 2 8,008,322 16,016,644
-1 -2 -8,008,322 -16,016,644

Let's try dividing by 4:

16,016,644 ÷ 4 = 4,004,161

If the quotient is a whole number, then 4 and 4,004,161 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 4 4,004,161 8,008,322 16,016,644
-1 -2 -4 -4,004,161 -8,008,322 16,016,644
Keep dividing by the next highest number until you cannot divide anymore.

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

12471428572,0231,144,0462,288,0924,004,1618,008,32216,016,644
-1-2-4-7-14-28-572,023-1,144,046-2,288,092-4,004,161-8,008,322-16,016,644

More Examples

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