shalvi is a tution teacher and teach maths
Answers
Refer to the attachment image for the complete question.
Step-by-step explanation:
Let us write the prime numbers first: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, ... .
We prime factorize the given number 173250.
See the second attachment.
173250 = 2 × 3 × 3 × 5 × 5 × 5 × 7 × 11
(i) How many students are there in the class?
Since 2 was given to the first student, the rest prime factors are 3, 3, 5, 5, 5, 7 and 11. There are 7 factors.
Thus there are 7 students in the class.
Option (d) 7 is correct
(ii) What is the highest prime number used by student?
From the factors of the number given, we see that the higher prime number used by a student is 11.
Option (a) 11 is correct
(iii) What is the least prime number used by students?
Since 2 was given by the teacher, the next least number is 3 and thus 3 is the least prime number used by students.
Option (d) 3 is correct
(iv) Which prime number has been used maximum times?
From the prime factorization, we can see that the number 5 appears three times, which is the most.
Option (c) 5 is correct
(v) Which prime number has been used minimum times?
From the factorization, we can see that the numbers 7 and 11, used by students, each appears once.
Option (b) 7 is correct
Step-by-step explanation:
thanku aryabhat....it is very clear