Question

determine the values of p and q so that the prime factorisation of 2520 is expressible as 2 rase to 3*3 rase to p*q*7

Answer 1

Hi ,

I think there is an error in the

question.

2520 = 2³ × 3² × p × 7^q

2³ × 3² × 5 × 7¹ = 2³ × 3² × p × 7^q

Compare both sides of the equation

p = 5 , q = 1

I hope this helps you.

: )

Answer 2

q is written as n

××××××××××××××÷×÷××=××

2520 = 2³ × 3² × 5¹ × 7¹

According to the question,

2³ × 3² × 5¹ × 7¹ = 2³ × 3² × p × 7ⁿ

On comparing, we get,

p = 5
n = q = 1



I hope this will help you


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