Q: What are the factor combinations of the number 16,737,119?

 A:
Positive:   1 x 167371197 x 239101719 x 88090161 x 274379133 x 125843427 x 391971159 x 144412063 x 8113
Negative: -1 x -16737119-7 x -2391017-19 x -880901-61 x -274379-133 x -125843-427 x -39197-1159 x -14441-2063 x -8113


How do I find the factor combinations of the number 16,737,119?

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 16,737,119, 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 16,737,119
-1 -16,737,119

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 16,737,119.

Example:
1 x 16,737,119 = 16,737,119
and
-1 x -16,737,119 = 16,737,119
Notice both answers equal 16,737,119

With that explanation out of the way, let's continue. Next, we take the number 16,737,119 and divide it by 2:

16,737,119 ÷ 2 = 8,368,559.5

If the quotient is a whole number, then 2 and 8,368,559.5 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 16,737,119
-1 -16,737,119

Now, we try dividing 16,737,119 by 3:

16,737,119 ÷ 3 = 5,579,039.6667

If the quotient is a whole number, then 3 and 5,579,039.6667 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 16,737,119
-1 -16,737,119

Let's try dividing by 4:

16,737,119 ÷ 4 = 4,184,279.75

If the quotient is a whole number, then 4 and 4,184,279.75 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 16,737,119
-1 16,737,119
Keep dividing by the next highest number until you cannot divide anymore.

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

1719611334271,1592,0638,11314,44139,197125,843274,379880,9012,391,01716,737,119
-1-7-19-61-133-427-1,159-2,063-8,113-14,441-39,197-125,843-274,379-880,901-2,391,017-16,737,119

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 16,737,119:


Ask a Question