At a certain high school, a student’s popularity is determined by his or her locker number. Whoever has the locker number with the greatest number of distinct prime factors is the most popular student in the school. If Dhoni ,Kamal, Baskar, and Dinesh get lockers with the numbers 100, 400, 150, and 25, respectively, who is the most popular student?  Choose the correct choice from the following answers
A) Dhoni  B) Baskar  C) Kamal  D) Dinesh  E) They have equal popularity
Distinct prime factors of 100 (Dhoni) : 2,5   Distinct prime factors of 400 (Kamal): 2 and 5.   Distinct prime factors of 150 (Baskar): 2,3, and 5   Distinct prime factors of 25 (Dinesh): 5.   So most popular student - Dinesh   Answer Baskar
<result>B</result>
At a certain high school, a student’s popularity is determined by his or her locker number. Whoever has the locker number with the greatest number of distinct prime factors is the most popular student in the school. If Dhoni ,Kamal, Baskar, and Dinesh get lockers with the numbers 100, 400, 150, and 25, respectively, who is the most popular student?