Q: What are the factor combinations of the number 25,400,027?

 A:
Positive:   1 x 2540002723 x 110434929 x 875863113 x 224779337 x 75371667 x 380812599 x 97733277 x 7751
Negative: -1 x -25400027-23 x -1104349-29 x -875863-113 x -224779-337 x -75371-667 x -38081-2599 x -9773-3277 x -7751


How do I find the factor combinations of the number 25,400,027?

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 25,400,027, 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 25,400,027
-1 -25,400,027

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 25,400,027.

Example:
1 x 25,400,027 = 25,400,027
and
-1 x -25,400,027 = 25,400,027
Notice both answers equal 25,400,027

With that explanation out of the way, let's continue. Next, we take the number 25,400,027 and divide it by 2:

25,400,027 ÷ 2 = 12,700,013.5

If the quotient is a whole number, then 2 and 12,700,013.5 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 25,400,027
-1 -25,400,027

Now, we try dividing 25,400,027 by 3:

25,400,027 ÷ 3 = 8,466,675.6667

If the quotient is a whole number, then 3 and 8,466,675.6667 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 25,400,027
-1 -25,400,027

Let's try dividing by 4:

25,400,027 ÷ 4 = 6,350,006.75

If the quotient is a whole number, then 4 and 6,350,006.75 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 25,400,027
-1 25,400,027
Keep dividing by the next highest number until you cannot divide anymore.

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

123291133376672,5993,2777,7519,77338,08175,371224,779875,8631,104,34925,400,027
-1-23-29-113-337-667-2,599-3,277-7,751-9,773-38,081-75,371-224,779-875,863-1,104,349-25,400,027

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 25,400,027:


Ask a Question