What is the prime factorization of 575?

1 Answer
Oct 13, 2016

#575=5xx5xx23#

Explanation:

As the last two digits of #575# are #75#, #575# is divisible by #25# i.e it is divisible by #5# rwice. Hence,

#575#

= #5xx115#

= #5xx5xx23#

Now, after dividing by #5# twice, we are lft with #23#, which is a prime number and hence, no further prime factorization can take place and

#575=5xx5xx23#