Real numbers
Grade Class 10
Question:
<p>The exponent of 3 in the prime factorization of 864 is:</p>
<p style="display:inline">8</p>
<p style="display:inline">3</p>
<p style="display:inline">4</p>
<p style="display:inline">2</p>
Step-by-Step Solution
Key Concept: Prime factorization involves breaking a number into its prime power components to identify the specific exponent associated with a given prime base.
<p>Prime factorization of 864 = 32 <span class="math-tex">$\times$</span> 27 = 2<sup>5</sup> <span class="math-tex">$\times$</span> 3<sup>3</sup><br />
Therefore the exponent of 3 in the prime factorization of 864 is 3</p>
Correct Answer: B