write the prime factorization of each number. use exponents for repeated factors. 63

The prime factorization of 63 is:

\[
63 = 3^2 \times 7
\]

Would you like a detailed explanation, or do you have any questions? 

Here are 5 related questions you could explore:
1. What is the prime factorization of 64?
2. How can you use prime factorization to find the greatest common divisor (GCD) of 63 and 84?
3. How does knowing the prime factors of a number help with simplifying fractions?
4. What is the least common multiple (LCM) of 63 and 45, using their prime factorizations?
5. What is the significance of prime numbers in mathematics?

**Tip:** Always check if a number is divisible by the smallest primes first (2, 3, 5, etc.) when doing prime factorization!

Discover the prime factorization of 63 and how to express repeated factors using exponents. This solution breaks down the steps to find prime factors, applying the Fundamental Theorem of Arithmetic. Ideal for students in Grades 5-7.

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