Answer :

To find the prime factorization of 76, follow these steps:

1. Start with the smallest prime number, which is 2, and check if 76 is divisible by 2. Since 76 is an even number, it is divisible by 2.
- Divide 76 by 2:
[tex]\[
76 \div 2 = 38
\][/tex]

2. Again check if the result, which is 38, is divisible by 2. Since 38 is also even:
- Divide 38 by 2:
[tex]\[
38 \div 2 = 19
\][/tex]

3. Now, check if 19 is a prime number or if it's divisible by any prime numbers. A prime number is a number greater than 1 that has no divisors other than 1 and itself.

4. 19 is a prime number, which means it cannot be divided further except by 1 and 19 itself.

So, the complete prime factorization of 76 is:
[tex]\[
76 = 2 \times 2 \times 19
\][/tex]

This can also be written using exponents:
[tex]\[
76 = 2^2 \times 19
\][/tex]

Therefore, the prime factorization of 76 is [tex]\(2^2 \cdot 19\)[/tex].

Thanks for taking the time to read The prime factorization of 76 is A tex 2 cdot 38 tex B tex 2 2 cdot 19 tex C 76 D tex 2 3. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

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