Question

determine the values of p and q so that the prime factorisation of 2520 is expressive as 2^3 × 3^p × q ×7​

Answer 1

Answer:

Step-by-step explanation:

2 and 5 is the value of p and q respectively.

Given:

is the prime factor of 2520.  

To find:

Value of p and q

Solution:

To find the prime factor of the number 2520, we use the long division method in which the lowest prime factor other than 1 is used, in this case it is 2 after that we use variety of prime number odd or even, in the case of 2520 the factors are

Now the question is written in form of 2 raise to power  raise to power, which means the first factor that is   is same the next factor  , here p = 2, and then next is q = 5.

Therefore, the value of p, q = 2, 5 respectively.