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Real Numbers — Maths STD 10 — Question

CBSE BoardEnglish MediumSTD 10MathsReal Numbers4 Marks
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

The prime factorization tree for 173250 is as given below:
Image
$\therefore \quad 173250=2^1 \times 5^3 \times 3^2 \times 7^1 \times 11^1$
(i) We find from the prime factorization of 173250 that the least prime number used by students is 3 .
(ii) (a): There are 7 students in the class.
(b): The highest prime number used by the students is 11 .
(iii) Prime number 5 has been used maximum number of times.

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