Express 48 product of primes

Answer 1

To express 48 as a product of its prime factors, we can perform the prime factorization:

1. Start with 48 and divide by the smallest prime number (2): \[ 48 \div 2 = 24 \]
2. Divide 24 by 2: \[ 24 \div 2 = 12 \]
3. Divide 12 by 2: \[ 12 \div 2 = 6 \]
4. Divide 6 by 2: \[ 6 \div 2 = 3 \]
5. Finally, 3 is a prime number.

Now, counting the number of times we used each prime factor, we have:

• The prime factor 2 appears 4 times.
• The prime factor 3 appears 1 time.

Thus, we can express 48 as a product of its prime factors: \[ 48 = 2^4 \times 3^1 \]

So, the prime factorization of 48 is \(2^4 \times 3\).