The prime factorization of 35 is 5 × 7.
To explain further, prime factorization involves breaking down a number into its prime components. A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. In the case of 35, we start by dividing by the smallest prime number, which is 2. Since 35 is odd, it is not divisible by 2. We move on to the next prime number, which is 3. Dividing 35 by 3 gives us a non-integer result, so we try the next prime number, 5.
When we divide 35 by 5, we get 7, which is also a prime number. Therefore, we can express 35 as the product of these two primes: 5 and 7. In summary, the prime factorization of 35 is simply 5 multiplied by 7.