Q: What are the factor combinations of the number 16,016,105?

 A:
Positive:   1 x 160161055 x 32032217 x 228801535 x 457603193 x 82985965 x 165971351 x 118552371 x 6755
Negative: -1 x -16016105-5 x -3203221-7 x -2288015-35 x -457603-193 x -82985-965 x -16597-1351 x -11855-2371 x -6755


How do I find the factor combinations of the number 16,016,105?

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 16,016,105, 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 16,016,105
-1 -16,016,105

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 16,016,105.

Example:
1 x 16,016,105 = 16,016,105
and
-1 x -16,016,105 = 16,016,105
Notice both answers equal 16,016,105

With that explanation out of the way, let's continue. Next, we take the number 16,016,105 and divide it by 2:

16,016,105 ÷ 2 = 8,008,052.5

If the quotient is a whole number, then 2 and 8,008,052.5 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 16,016,105
-1 -16,016,105

Now, we try dividing 16,016,105 by 3:

16,016,105 ÷ 3 = 5,338,701.6667

If the quotient is a whole number, then 3 and 5,338,701.6667 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 16,016,105
-1 -16,016,105

Let's try dividing by 4:

16,016,105 ÷ 4 = 4,004,026.25

If the quotient is a whole number, then 4 and 4,004,026.25 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 16,016,105
-1 16,016,105
Keep dividing by the next highest number until you cannot divide anymore.

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

157351939651,3512,3716,75511,85516,59782,985457,6032,288,0153,203,22116,016,105
-1-5-7-35-193-965-1,351-2,371-6,755-11,855-16,597-82,985-457,603-2,288,015-3,203,221-16,016,105

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