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What is the prime factorization of 264? 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 2 264=square boxed (times )a^b

Problemas

What is the prime factorization of 264?
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
264=square boxed (times )a^b

What is the prime factorization of 264? 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 2 264=square boxed (times )a^b

Solución

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Susanaprofessionell · Tutor durante 6 años
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The prime factorization of 264 is \(2^2 * 3 * 11\).

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## Step 1<br />The prime factorization of a number is the expression of that number as the product of its prime factors. Prime factors are the factors of a number that are prime numbers.<br /><br />## Step 2<br />To find the prime factorization of 264, we start by dividing it by the smallest prime number, which is 2. <br /><br />## Step 3<br />264 divided by 2 is 132. We continue this process with 132, dividing it by 2 again to get 66.<br /><br />## Step 4<br />We continue this process with 66, dividing it by 2 to get 33.<br /><br />## Step 5<br />33 is not divisible by 2, so we move to the next prime number, which is 3. 33 divided by 3 is 11.<br /><br />## Step 6<br />11 is a prime number, so we stop here. <br /><br />## Step 7<br />So, the prime factorization of 264 is \(2^2 * 3 * 11\).
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