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 Raja,Kamal, Baskar, and Divya get lockers with the numbers 350, 400, 150, and 420, respectively, who is the most popular student?	Choose the correct choice from the following options:
A) Divya
B) Kamal
C) Baskar
D) Raja
E) They have equal popularity
Distinct prime factors of 350 (Raja) : 2,5,7   Distinct prime factors of 400 (Kamal): 2 and 5.   Distinct prime factors of 150 (Baskar): 2,3, and 5   Distinct prime factors of 420 (Divya): 2,3,5 and 7.   So most popular student - Divya   Divyanswer Divya
<result>A</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 Raja,Kamal, Baskar, and Divya get lockers with the numbers 350, 400, 150, and 420, respectively, who is the most popular student?