Q: What are the factor combinations of the number 25,500,005?

 A:
Positive:   1 x 255000055 x 510000171 x 359155109 x 233945355 x 71831545 x 46789659 x 386953295 x 7739
Negative: -1 x -25500005-5 x -5100001-71 x -359155-109 x -233945-355 x -71831-545 x -46789-659 x -38695-3295 x -7739


How do I find the factor combinations of the number 25,500,005?

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 25,500,005, 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 25,500,005
-1 -25,500,005

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 25,500,005.

Example:
1 x 25,500,005 = 25,500,005
and
-1 x -25,500,005 = 25,500,005
Notice both answers equal 25,500,005

With that explanation out of the way, let's continue. Next, we take the number 25,500,005 and divide it by 2:

25,500,005 ÷ 2 = 12,750,002.5

If the quotient is a whole number, then 2 and 12,750,002.5 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 25,500,005
-1 -25,500,005

Now, we try dividing 25,500,005 by 3:

25,500,005 ÷ 3 = 8,500,001.6667

If the quotient is a whole number, then 3 and 8,500,001.6667 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 25,500,005
-1 -25,500,005

Let's try dividing by 4:

25,500,005 ÷ 4 = 6,375,001.25

If the quotient is a whole number, then 4 and 6,375,001.25 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 25,500,005
-1 25,500,005
Keep dividing by the next highest number until you cannot divide anymore.

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

15711093555456593,2957,73938,69546,78971,831233,945359,1555,100,00125,500,005
-1-5-71-109-355-545-659-3,295-7,739-38,695-46,789-71,831-233,945-359,155-5,100,001-25,500,005

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 25,500,005:


Ask a Question