Four prime numbers are arranged in ascending order. Their product is 5005 and the product of the first three is 385. Find the smallest prime numbers among the four.
A)13
B)5
C)7
D)11

Question

Quizplus · Accepted Answer

The product of 4 prime consecutive numbers is 5005 and the product of the first three is 385. So divide 5005 by 385, you get 13. This is the fourth prime number. Hence, the four prime numbers are 5, 7, 11, and 13. The smallest of these is 5.
Key takeaway: A prime number is a number which is exactly divisible by itself and one only. It is not exactly divisible by any other number. It is useful to remember the first 15 Prime numbers 2,3,5,7,11,13,17,19,23,29,31,37,41, 43 and 47. Please note 1 is not a prime number and 2 is the only prime number which is even.

Four Prime Numbers Are Arranged in Ascending Order