Problem

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 $\wedge$ key on your keyboard. If a number is prime, enter the number itself. \[ 294= \]

Solution

Step 1 :The prime factorization of a number is the expression of that number as a product of prime numbers. To find the prime factorization of 294, we need to divide it by prime numbers starting from the smallest one (2) until the quotient is a prime number.

Step 2 :The prime factorization of 294 is 2, 3, 7, 7. This means that 294 can be expressed as the product of these prime numbers.

Step 3 :Final Answer: \(\boxed{294 = 2 \times 3 \times 7^{2}}\)

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Source: https://solvelyapp.com/problems/7627/

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