what is the difference between the largest prime number less than 50 and the smallest composite number…
what is the difference between the largest prime number less than 50 and the smallest composite number greater than 10?
Answer
Explanation:
Step1: Find the largest prime number less than 50
A prime number is a number greater than 1 that has only two distinct positive divisors: 1 and itself. The prime numbers less than 50 are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47. The largest one is 47.
Step2: Find the smallest composite number greater than 30
A composite number is a positive integer that has at least one positive divisor other than 1 or itself. Numbers greater than 30: 31 (prime), 32 (composite as (32 = 2\times16)), 33 (composite as (33=3\times11)), 34 (composite as (34 = 2\times17)), 35 (composite as (35=5\times7)), 36 (composite as (36=6\times6)). The smallest composite number greater than 30 is 32.
Step3: Calculate the difference
The difference is (47 - 32). (47-32=15)
Answer:
15