Q: What are the factor combinations of the number 25,335,875?

 A:
Positive:   1 x 253358755 x 506717525 x 1013435125 x 202687157 x 161375785 x 322751291 x 196253925 x 6455
Negative: -1 x -25335875-5 x -5067175-25 x -1013435-125 x -202687-157 x -161375-785 x -32275-1291 x -19625-3925 x -6455


How do I find the factor combinations of the number 25,335,875?

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 25,335,875, 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 25,335,875
-1 -25,335,875

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 25,335,875.

Example:
1 x 25,335,875 = 25,335,875
and
-1 x -25,335,875 = 25,335,875
Notice both answers equal 25,335,875

With that explanation out of the way, let's continue. Next, we take the number 25,335,875 and divide it by 2:

25,335,875 ÷ 2 = 12,667,937.5

If the quotient is a whole number, then 2 and 12,667,937.5 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 25,335,875
-1 -25,335,875

Now, we try dividing 25,335,875 by 3:

25,335,875 ÷ 3 = 8,445,291.6667

If the quotient is a whole number, then 3 and 8,445,291.6667 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 25,335,875
-1 -25,335,875

Let's try dividing by 4:

25,335,875 ÷ 4 = 6,333,968.75

If the quotient is a whole number, then 4 and 6,333,968.75 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 25,335,875
-1 25,335,875
Keep dividing by the next highest number until you cannot divide anymore.

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

15251251577851,2913,9256,45519,62532,275161,375202,6871,013,4355,067,17525,335,875
-1-5-25-125-157-785-1,291-3,925-6,455-19,625-32,275-161,375-202,687-1,013,435-5,067,175-25,335,875

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 25,335,875:


Ask a Question