Q: What are the factor combinations of the number 15,322,703?

 A:
Positive:   1 x 1532270311 x 13929731019 x 150371367 x 11209
Negative: -1 x -15322703-11 x -1392973-1019 x -15037-1367 x -11209


How do I find the factor combinations of the number 15,322,703?

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 15,322,703, 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 15,322,703
-1 -15,322,703

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 15,322,703.

Example:
1 x 15,322,703 = 15,322,703
and
-1 x -15,322,703 = 15,322,703
Notice both answers equal 15,322,703

With that explanation out of the way, let's continue. Next, we take the number 15,322,703 and divide it by 2:

15,322,703 ÷ 2 = 7,661,351.5

If the quotient is a whole number, then 2 and 7,661,351.5 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 15,322,703
-1 -15,322,703

Now, we try dividing 15,322,703 by 3:

15,322,703 ÷ 3 = 5,107,567.6667

If the quotient is a whole number, then 3 and 5,107,567.6667 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 15,322,703
-1 -15,322,703

Let's try dividing by 4:

15,322,703 ÷ 4 = 3,830,675.75

If the quotient is a whole number, then 4 and 3,830,675.75 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 15,322,703
-1 15,322,703
Keep dividing by the next highest number until you cannot divide anymore.

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

1111,0191,36711,20915,0371,392,97315,322,703
-1-11-1,019-1,367-11,209-15,037-1,392,973-15,322,703

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 15,322,703:


Ask a Question