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Solution


Q.

Teaching Mathematics through activities is a powerful approach that enhances student’s understanding and engagement. Keeping this in mind, Ms. Mukta planned a prime number game for class 5 students. She announced the number 2 in her class and asked the first student to multiply it by a prime number and then pass it to the second student. The second student also multiplied it by a prime number and passed it to the third student. In this way, by multiplying with a prime number, the last student got 173250

 

Now, Mukta asked some questions as given below to the students:

 

(i) What is the least prime number used by students
1 3  
2 2  
3 5  
4 0  

Ans.

(1)

We have, 173250 = 2 × 3 × 3 × 5 × 5 × 5 × 7 × 11.

As the teacher started with the number 2 and later students used the numbers 3, 5, 7, and 11, the least prime number used by students is 3.