Q: What are the factor combinations of the number 25,550,165?

 A:
Positive:   1 x 255501655 x 511003337 x 690545167 x 152995185 x 138109827 x 30895835 x 305994135 x 6179
Negative: -1 x -25550165-5 x -5110033-37 x -690545-167 x -152995-185 x -138109-827 x -30895-835 x -30599-4135 x -6179


How do I find the factor combinations of the number 25,550,165?

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 25,550,165, 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 25,550,165
-1 -25,550,165

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 25,550,165.

Example:
1 x 25,550,165 = 25,550,165
and
-1 x -25,550,165 = 25,550,165
Notice both answers equal 25,550,165

With that explanation out of the way, let's continue. Next, we take the number 25,550,165 and divide it by 2:

25,550,165 ÷ 2 = 12,775,082.5

If the quotient is a whole number, then 2 and 12,775,082.5 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 25,550,165
-1 -25,550,165

Now, we try dividing 25,550,165 by 3:

25,550,165 ÷ 3 = 8,516,721.6667

If the quotient is a whole number, then 3 and 8,516,721.6667 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 25,550,165
-1 -25,550,165

Let's try dividing by 4:

25,550,165 ÷ 4 = 6,387,541.25

If the quotient is a whole number, then 4 and 6,387,541.25 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 25,550,165
-1 25,550,165
Keep dividing by the next highest number until you cannot divide anymore.

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

15371671858278354,1356,17930,59930,895138,109152,995690,5455,110,03325,550,165
-1-5-37-167-185-827-835-4,135-6,179-30,599-30,895-138,109-152,995-690,545-5,110,033-25,550,165

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 25,550,165:


Ask a Question