Q: What are the factor combinations of the number 16,216,039?

 A:
Positive:   1 x 162160397 x 231657753 x 305963109 x 148771371 x 43709401 x 40439763 x 212532807 x 5777
Negative: -1 x -16216039-7 x -2316577-53 x -305963-109 x -148771-371 x -43709-401 x -40439-763 x -21253-2807 x -5777


How do I find the factor combinations of the number 16,216,039?

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 16,216,039, 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 16,216,039
-1 -16,216,039

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 16,216,039.

Example:
1 x 16,216,039 = 16,216,039
and
-1 x -16,216,039 = 16,216,039
Notice both answers equal 16,216,039

With that explanation out of the way, let's continue. Next, we take the number 16,216,039 and divide it by 2:

16,216,039 ÷ 2 = 8,108,019.5

If the quotient is a whole number, then 2 and 8,108,019.5 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 16,216,039
-1 -16,216,039

Now, we try dividing 16,216,039 by 3:

16,216,039 ÷ 3 = 5,405,346.3333

If the quotient is a whole number, then 3 and 5,405,346.3333 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 16,216,039
-1 -16,216,039

Let's try dividing by 4:

16,216,039 ÷ 4 = 4,054,009.75

If the quotient is a whole number, then 4 and 4,054,009.75 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 16,216,039
-1 16,216,039
Keep dividing by the next highest number until you cannot divide anymore.

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

17531093714017632,8075,77721,25340,43943,709148,771305,9632,316,57716,216,039
-1-7-53-109-371-401-763-2,807-5,777-21,253-40,439-43,709-148,771-305,963-2,316,577-16,216,039

More Examples

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