Determine the values of p and q so that the prime factorisation of 2520 is a expressible as 2^33^pq*7.

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Solution

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

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Determine the values of p and q so that the prime factorisation of 2520 is a expressible as 2^3*3^p*q*7.

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

Determine the values of p and q so that the prime factorisation of 2520 is a expressible as 2^33^pq*7.

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