Q: What are the prime factors of the number 265,853,925?

 A: 3, 5, 1181573

Why are those the prime factors of the number 265,853,925?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 265,853,925

265,853,925
Factor Arrows
388,617,975
Factor Arrows
329,539,325
Factor Arrows
55,907,865
Factor Arrows
51,181,573

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

3, 5, 1181573

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 5 x 1,181,573 = 265,853,925

This can also be written as 32 x 52 x 1,181,5731 = 265,853,925

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 265,853,925:


Ask a Question