Question What is the prime factorization of 65? Use the X 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 Attemptiout of 2 65=square boxed (times )boxed (a^b)

To find the prime factorization of 65, we need to determine which prime numbers multiply together to give us 65.<br /><br />First, let's check if 65 is a prime number. A prime number is a number greater than 1 that has no positive divisors other than 1 and itself. <br /><br />Since 65 is not a prime number, we need to find its prime factors.<br /><br />We start by checking the smallest prime number, which is 2. Since 65 is odd, it is not divisible by 2.<br /><br />Next, we check the next smallest prime number, which is 3. We divide 65 by 3:<br /><br />\[ 65 \div 3 = 21.6667 \]<br /><br />Since 65 is not divisible by 3, we move to the next prime number, which is 5. We divide 65 by 5:<br /><br />\[ 65 \div 5 = 13 \]<br /><br />Now, we have 65 = 5 * 13. Both 5 and 13 are prime numbers.<br /><br />Therefore, the prime factorization of 65 is:<br /><br />\[ 65 = 5 \times 13 \]<br /><br />So, the final answer is:<br /><br />\[ 65 = 5 \boxed{\times} 13 \]