Teaching Mathematics through activities is a powerful approach th… - Vidyadip

Question

Teaching Mathematics through activities is a powerful approach that enhances students' understanding and engagement. Keeping this in mind, Ms. Mukta planned a prime number game for class 5 students. She announces the number 2 in her class and asked the first student to multiply it by a prime number and then pass it to second student. Second student also multiplied it by a prime number and passed it to third student. In this way by multiplying to 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?
(ii) (a) How many students are in the class ?
OR
(b) What is the highest prime number used by students?
(iii) Which prime number has been used maximum times?

✓

Answer

$
173250=2 \times 5^3 \times 3^2 \times 7 \times 11
$
(i) 3
(ii) (a) $173250=2 \times 5^3 \times 3^2 \times 7 \times 11$
Number of students in the class $=3+2+1+1=7$
OR
(ii) (b) $173250=2 \times 5^3 \times 3^2 \times 7 \times 11$
Highest prime number used by students $=11$
(iii) 5

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