Prime Factorization of 53

Find the prime factorization of 53. Express 53 as a product of prime numbers.

Prime factorization of
Answer: 53 = 53
Step-by-Step Solution
Step 1 Check if 53 is Prime

To find the prime factorization, we first check if 53 is already a prime number.


A prime number is only divisible by 1 and itself.

Testing divisibility: 53 is not divisible by any number from 2 to 7.


Therefore, 53 is a prime number!

Step 2 Prime Factorization Result

Since 53 is already a prime number, its prime factorization is simply itself.


Prime factorization of 53: 53