Q: What are the factor combinations of the number 991,308?

 A:
Positive:   1 x 9913082 x 4956543 x 3304364 x 2478276 x 16521812 x 82609
Negative: -1 x -991308-2 x -495654-3 x -330436-4 x -247827-6 x -165218-12 x -82609


How do I find the factor combinations of the number 991,308?

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 991,308, 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.

1 991,308
-1 -991,308

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 991,308.

Example:
1 x 991,308 = 991,308
and
-1 x -991,308 = 991,308
Notice both answers equal 991,308

With that explanation out of the way, let's continue. Next, we take the number 991,308 and divide it by 2:

991,308 ÷ 2 = 495,654

If the quotient is a whole number, then 2 and 495,654 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 495,654 991,308
-1 -2 -495,654 -991,308

Now, we try dividing 991,308 by 3:

991,308 ÷ 3 = 330,436

If the quotient is a whole number, then 3 and 330,436 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 330,436 495,654 991,308
-1 -2 -3 -330,436 -495,654 -991,308

Let's try dividing by 4:

991,308 ÷ 4 = 247,827

If the quotient is a whole number, then 4 and 247,827 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 4 247,827 330,436 495,654 991,308
-1 -2 -3 -4 -247,827 -330,436 -495,654 991,308
Keep dividing by the next highest number until you cannot divide anymore.

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

123461282,609165,218247,827330,436495,654991,308
-1-2-3-4-6-12-82,609-165,218-247,827-330,436-495,654-991,308

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 991,308:


Ask a Question