Q: What are the factor combinations of the number 1,008,665?

 A:
Positive:   1 x 10086655 x 2017337 x 14409523 x 4385535 x 2881949 x 20585115 x 8771161 x 6265179 x 5635245 x 4117805 x 1253895 x 1127
Negative: -1 x -1008665-5 x -201733-7 x -144095-23 x -43855-35 x -28819-49 x -20585-115 x -8771-161 x -6265-179 x -5635-245 x -4117-805 x -1253-895 x -1127


How do I find the factor combinations of the number 1,008,665?

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 1,008,665, 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 1,008,665
-1 -1,008,665

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 1,008,665.

Example:
1 x 1,008,665 = 1,008,665
and
-1 x -1,008,665 = 1,008,665
Notice both answers equal 1,008,665

With that explanation out of the way, let's continue. Next, we take the number 1,008,665 and divide it by 2:

1,008,665 ÷ 2 = 504,332.5

If the quotient is a whole number, then 2 and 504,332.5 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 1,008,665
-1 -1,008,665

Now, we try dividing 1,008,665 by 3:

1,008,665 ÷ 3 = 336,221.6667

If the quotient is a whole number, then 3 and 336,221.6667 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 1,008,665
-1 -1,008,665

Let's try dividing by 4:

1,008,665 ÷ 4 = 252,166.25

If the quotient is a whole number, then 4 and 252,166.25 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 1,008,665
-1 1,008,665
Keep dividing by the next highest number until you cannot divide anymore.

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

1572335491151611792458058951,1271,2534,1175,6356,2658,77120,58528,81943,855144,095201,7331,008,665
-1-5-7-23-35-49-115-161-179-245-805-895-1,127-1,253-4,117-5,635-6,265-8,771-20,585-28,819-43,855-144,095-201,733-1,008,665

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 1,008,665:


Ask a Question