The six graders at Washington middle school research the history of their city this day still gave a presentation to the other students at the school if they were 64 six skaters list all the ways they could have been divided equally into groups of 10 or fewer students
1. Mr.Steve has 120 pastel sticks and 30 pieces of paper to give to his students.
a) Find the largest number of students he can have in his class so that each student gets equal number of pastel sticks and equal number of paper.
b) Briefly explain the technique you used to solve (a).
Recall that ν(n) is the divisor function and it gives the number of positive divisors of n.
After knowing this, prove that ν(n) is a prime number if and only if n = p^q−1,
where p and q are prime numbers.