Q: What are the factor combinations of the number 16,026,659?

 A:
Positive:   1 x 1602665911 x 145696931 x 51698943 x 372713341 x 46999473 x 338831093 x 146631333 x 12023
Negative: -1 x -16026659-11 x -1456969-31 x -516989-43 x -372713-341 x -46999-473 x -33883-1093 x -14663-1333 x -12023


How do I find the factor combinations of the number 16,026,659?

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 16,026,659, 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 16,026,659
-1 -16,026,659

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 16,026,659.

Example:
1 x 16,026,659 = 16,026,659
and
-1 x -16,026,659 = 16,026,659
Notice both answers equal 16,026,659

With that explanation out of the way, let's continue. Next, we take the number 16,026,659 and divide it by 2:

16,026,659 ÷ 2 = 8,013,329.5

If the quotient is a whole number, then 2 and 8,013,329.5 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 16,026,659
-1 -16,026,659

Now, we try dividing 16,026,659 by 3:

16,026,659 ÷ 3 = 5,342,219.6667

If the quotient is a whole number, then 3 and 5,342,219.6667 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 16,026,659
-1 -16,026,659

Let's try dividing by 4:

16,026,659 ÷ 4 = 4,006,664.75

If the quotient is a whole number, then 4 and 4,006,664.75 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 16,026,659
-1 16,026,659
Keep dividing by the next highest number until you cannot divide anymore.

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

11131433414731,0931,33312,02314,66333,88346,999372,713516,9891,456,96916,026,659
-1-11-31-43-341-473-1,093-1,333-12,023-14,663-33,883-46,999-372,713-516,989-1,456,969-16,026,659

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 16,026,659:


Ask a Question