Exercise · ZW-PRIME-NUMBER-001 · ★☆☆ Basic
Which of these numbers is prime?
Choose one option.
Show answer
- B. 53
Explanation
51 = 3·17, 57 = 3·19 and 91 = 7·13 are composite; 53 has no divisors other than 1 and 53.
Review the concept: Prime number
A prime number \(p\) is an integer greater than 1 whose only positive divisors are 1 and itself.
\[p>1,\quad d>0,\ d\mid p\ \Rightarrow\ d\in\{1,p\}\]
More practice problems: prime number
- ZW-PRIME-NUMBER-002 How many prime numbers are less than 30?
- ZW-PRIME-NUMBER-003 What is the smallest prime factor of 221?
- ZW-PRIME-NUMBER-004 What is the prime factorization of 360?
- ZW-PRIME-NUMBER-005 To decide whether 97 is prime by trial division, what is the largest prime you must test?
- ZW-PRIME-NUMBER-006 Which of these statements about primes is true?
- ZW-PRIME-NUMBER-007 How many positive divisors does 60 have?
- ZW-PRIME-NUMBER-008 What is the smallest prime greater than 100?
- ZW-PRIME-NUMBER-009 If a prime p divides the product ab, what follows?