The prime factorization of 92 is 2 x 2 x 23, or expressed in exponential form, 2² x 23.
To find the prime factorization, we start by dividing 92 by the smallest prime number, which is 2. Since 92 is even, we can divide it by 2:
- 92 ÷ 2 = 46
Next, we take 46 and divide it by 2 again:
- 46 ÷ 2 = 23
Now, we have 23, which is itself a prime number and cannot be divided any further. Therefore, the complete prime factorization of 92 can be expressed as:
- 2 x 2 x 23
- or 2² x 23
This shows that 92 can be broken down into these prime factors, helping us understand its composition in terms of primes.