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): $$48÷2=24$$
2. Divide 24 by 2: $$24÷2=12$$
3. Divide 12 by 2: $$12÷2=6$$
4. Divide 6 by 2: $$6÷2=3$$
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 $2^4\times 3$.