Q: What are the factor combinations of the number 13,405,625?

 A:
Positive:   1 x 134056255 x 268112525 x 53622589 x 150625125 x 107245241 x 55625445 x 30125625 x 214491205 x 111252225 x 6025
Negative: -1 x -13405625-5 x -2681125-25 x -536225-89 x -150625-125 x -107245-241 x -55625-445 x -30125-625 x -21449-1205 x -11125-2225 x -6025


How do I find the factor combinations of the number 13,405,625?

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 13,405,625, 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 13,405,625
-1 -13,405,625

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 13,405,625.

Example:
1 x 13,405,625 = 13,405,625
and
-1 x -13,405,625 = 13,405,625
Notice both answers equal 13,405,625

With that explanation out of the way, let's continue. Next, we take the number 13,405,625 and divide it by 2:

13,405,625 ÷ 2 = 6,702,812.5

If the quotient is a whole number, then 2 and 6,702,812.5 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 13,405,625
-1 -13,405,625

Now, we try dividing 13,405,625 by 3:

13,405,625 ÷ 3 = 4,468,541.6667

If the quotient is a whole number, then 3 and 4,468,541.6667 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 13,405,625
-1 -13,405,625

Let's try dividing by 4:

13,405,625 ÷ 4 = 3,351,406.25

If the quotient is a whole number, then 4 and 3,351,406.25 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 13,405,625
-1 13,405,625
Keep dividing by the next highest number until you cannot divide anymore.

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

1525891252414456251,2052,2256,02511,12521,44930,12555,625107,245150,625536,2252,681,12513,405,625
-1-5-25-89-125-241-445-625-1,205-2,225-6,025-11,125-21,449-30,125-55,625-107,245-150,625-536,225-2,681,125-13,405,625

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 13,405,625:


Ask a Question