Question What is the prime factorization of 294 ? Use the \( \times \) button or type the * key on your keyboard. For exponents, use the \( a^{b} \) button or the ^ key on your keyboard. If a number is prime, enter the number itself. Answer Attempt tout of 2 \( 294=1 \)

To find the prime factorization of 294, start by dividing it by the smallest prime number, which is 2. Since 294 is even, we have \( 294 ÷ 2 = 147 \). Next, we factor 147. The sum of the digits of 147 is 12, which is divisible by 3, so we can divide by 3: \( 147 ÷ 3 = 49 \). Finally, 49 can be factored into \( 7 \times 7 \) (or \( 7^2 \)). Hence, the prime factorization of 294 is \( 2 \times 3 \times 7^2 \). If you're ever stuck, remember that prime factorization can be visualized using a factor tree! Start with the original number and break it down into two factors, then repeat with the factors until only prime numbers are left. It's like playing detective with numbers, and you'll find that every number has its unique identity waiting to be discovered!