Q: What are the factor combinations of the number 13,426,955?

 A:
Positive:   1 x 134269555 x 26853911061 x 126552531 x 5305
Negative: -1 x -13426955-5 x -2685391-1061 x -12655-2531 x -5305


How do I find the factor combinations of the number 13,426,955?

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 13,426,955, 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 13,426,955
-1 -13,426,955

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 13,426,955.

Example:
1 x 13,426,955 = 13,426,955
and
-1 x -13,426,955 = 13,426,955
Notice both answers equal 13,426,955

With that explanation out of the way, let's continue. Next, we take the number 13,426,955 and divide it by 2:

13,426,955 ÷ 2 = 6,713,477.5

If the quotient is a whole number, then 2 and 6,713,477.5 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 13,426,955
-1 -13,426,955

Now, we try dividing 13,426,955 by 3:

13,426,955 ÷ 3 = 4,475,651.6667

If the quotient is a whole number, then 3 and 4,475,651.6667 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 13,426,955
-1 -13,426,955

Let's try dividing by 4:

13,426,955 ÷ 4 = 3,356,738.75

If the quotient is a whole number, then 4 and 3,356,738.75 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 13,426,955
-1 13,426,955
Keep dividing by the next highest number until you cannot divide anymore.

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

151,0612,5315,30512,6552,685,39113,426,955
-1-5-1,061-2,531-5,305-12,655-2,685,391-13,426,955

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 13,426,955:


Ask a Question