Question

find the value of p and q so that the prime factorization of 2520 ,

Answer 1

Since, 2520 = 2 x 2 x 2 x 3 x 3 x 5 x 7
= 23 x 32 x 5 x 7

Therefore, p = 2 and q = 5

Answer 2

The value of p and q are 2 and 5 respectively.  

Explanation:

Consider the provided number 2520.

Calculate the prime factorization of 2520.

$2520=2 \times 2 \times 2 \times 3 \times 3 \times 5 \times 7=2^{3} \times 3^{2} \times 5 \times 7$

We need to determine the values of p and q so that the prime factorization of 2520 is expressible as  $2^3\times3^p\times q\times7$

Now by comparing we can concluded that the value of p = 2 and the value of q = 5.

Therefore, the value of p and q are 2 and 5 respectively.  

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