Prime Factorization of 59

Find the prime factorization of 59. Express 59 as a product of prime numbers.

Prime factorization of
Answer: 59 = 59
Step-by-Step Solution
Step 1 Check if 59 is Prime

To find the prime factorization, we first check if 59 is already a prime number.


A prime number is only divisible by 1 and itself.

Testing divisibility: 59 is not divisible by any number from 2 to 7.


Therefore, 59 is a prime number!

Step 2 Prime Factorization Result

Since 59 is already a prime number, its prime factorization is simply itself.


Prime factorization of 59: 59