Q: What are the factor combinations of the number 16,016,605?

 A:
Positive:   1 x 160166055 x 320332111 x 145605555 x 291211127 x 126115635 x 252231397 x 114652293 x 6985
Negative: -1 x -16016605-5 x -3203321-11 x -1456055-55 x -291211-127 x -126115-635 x -25223-1397 x -11465-2293 x -6985


How do I find the factor combinations of the number 16,016,605?

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 16,016,605, 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 16,016,605
-1 -16,016,605

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 16,016,605.

Example:
1 x 16,016,605 = 16,016,605
and
-1 x -16,016,605 = 16,016,605
Notice both answers equal 16,016,605

With that explanation out of the way, let's continue. Next, we take the number 16,016,605 and divide it by 2:

16,016,605 ÷ 2 = 8,008,302.5

If the quotient is a whole number, then 2 and 8,008,302.5 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 16,016,605
-1 -16,016,605

Now, we try dividing 16,016,605 by 3:

16,016,605 ÷ 3 = 5,338,868.3333

If the quotient is a whole number, then 3 and 5,338,868.3333 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 16,016,605
-1 -16,016,605

Let's try dividing by 4:

16,016,605 ÷ 4 = 4,004,151.25

If the quotient is a whole number, then 4 and 4,004,151.25 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 16,016,605
-1 16,016,605
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551276351,3972,2936,98511,46525,223126,115291,2111,456,0553,203,32116,016,605
-1-5-11-55-127-635-1,397-2,293-6,985-11,465-25,223-126,115-291,211-1,456,055-3,203,321-16,016,605

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 16,016,605:


Ask a Question