Q: What are the factor combinations of the number 16,006,735?

 A:
Positive:   1 x 160067355 x 320134723 x 695945115 x 139189181 x 88435769 x 20815905 x 176873845 x 4163
Negative: -1 x -16006735-5 x -3201347-23 x -695945-115 x -139189-181 x -88435-769 x -20815-905 x -17687-3845 x -4163


How do I find the factor combinations of the number 16,006,735?

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 16,006,735, 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 16,006,735
-1 -16,006,735

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 16,006,735.

Example:
1 x 16,006,735 = 16,006,735
and
-1 x -16,006,735 = 16,006,735
Notice both answers equal 16,006,735

With that explanation out of the way, let's continue. Next, we take the number 16,006,735 and divide it by 2:

16,006,735 ÷ 2 = 8,003,367.5

If the quotient is a whole number, then 2 and 8,003,367.5 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 16,006,735
-1 -16,006,735

Now, we try dividing 16,006,735 by 3:

16,006,735 ÷ 3 = 5,335,578.3333

If the quotient is a whole number, then 3 and 5,335,578.3333 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 16,006,735
-1 -16,006,735

Let's try dividing by 4:

16,006,735 ÷ 4 = 4,001,683.75

If the quotient is a whole number, then 4 and 4,001,683.75 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 16,006,735
-1 16,006,735
Keep dividing by the next highest number until you cannot divide anymore.

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

15231151817699053,8454,16317,68720,81588,435139,189695,9453,201,34716,006,735
-1-5-23-115-181-769-905-3,845-4,163-17,687-20,815-88,435-139,189-695,945-3,201,347-16,006,735

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