Q: What are the factor combinations of the number 10,694,369?

 A:
Positive:   1 x 106943697 x 152776737 x 289037157 x 68117259 x 41291263 x 406631099 x 97311841 x 5809
Negative: -1 x -10694369-7 x -1527767-37 x -289037-157 x -68117-259 x -41291-263 x -40663-1099 x -9731-1841 x -5809


How do I find the factor combinations of the number 10,694,369?

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 10,694,369, 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 10,694,369
-1 -10,694,369

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 10,694,369.

Example:
1 x 10,694,369 = 10,694,369
and
-1 x -10,694,369 = 10,694,369
Notice both answers equal 10,694,369

With that explanation out of the way, let's continue. Next, we take the number 10,694,369 and divide it by 2:

10,694,369 ÷ 2 = 5,347,184.5

If the quotient is a whole number, then 2 and 5,347,184.5 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 10,694,369
-1 -10,694,369

Now, we try dividing 10,694,369 by 3:

10,694,369 ÷ 3 = 3,564,789.6667

If the quotient is a whole number, then 3 and 3,564,789.6667 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 10,694,369
-1 -10,694,369

Let's try dividing by 4:

10,694,369 ÷ 4 = 2,673,592.25

If the quotient is a whole number, then 4 and 2,673,592.25 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 10,694,369
-1 10,694,369
Keep dividing by the next highest number until you cannot divide anymore.

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

17371572592631,0991,8415,8099,73140,66341,29168,117289,0371,527,76710,694,369
-1-7-37-157-259-263-1,099-1,841-5,809-9,731-40,663-41,291-68,117-289,037-1,527,767-10,694,369

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 10,694,369:


Ask a Question