Q: What are the factor combinations of the number 25,505,665?

 A:
Positive:   1 x 255056655 x 510113343 x 59315597 x 262945215 x 118631485 x 525891223 x 208554171 x 6115
Negative: -1 x -25505665-5 x -5101133-43 x -593155-97 x -262945-215 x -118631-485 x -52589-1223 x -20855-4171 x -6115


How do I find the factor combinations of the number 25,505,665?

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 25,505,665, 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 25,505,665
-1 -25,505,665

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 25,505,665.

Example:
1 x 25,505,665 = 25,505,665
and
-1 x -25,505,665 = 25,505,665
Notice both answers equal 25,505,665

With that explanation out of the way, let's continue. Next, we take the number 25,505,665 and divide it by 2:

25,505,665 ÷ 2 = 12,752,832.5

If the quotient is a whole number, then 2 and 12,752,832.5 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 25,505,665
-1 -25,505,665

Now, we try dividing 25,505,665 by 3:

25,505,665 ÷ 3 = 8,501,888.3333

If the quotient is a whole number, then 3 and 8,501,888.3333 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 25,505,665
-1 -25,505,665

Let's try dividing by 4:

25,505,665 ÷ 4 = 6,376,416.25

If the quotient is a whole number, then 4 and 6,376,416.25 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 25,505,665
-1 25,505,665
Keep dividing by the next highest number until you cannot divide anymore.

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

1543972154851,2234,1716,11520,85552,589118,631262,945593,1555,101,13325,505,665
-1-5-43-97-215-485-1,223-4,171-6,115-20,855-52,589-118,631-262,945-593,155-5,101,133-25,505,665

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 25,505,665:


Ask a Question