6 — Factors and Prime Numbers
Factors and Prime Numbers
Solution & Explanation · ID: 659E9CF6
Question
Determine if each number is prime or composite: 29, 33, 51
Hint
For each number, check if it has factors other than 1 and itself.
Concept
A prime number has exactly two factors: 1 and itself. A composite number has more than two factors. To determine if a number is prime, check if any numbers between 2 and its square root divide it evenly.
Show Answer
29 is prime, 33 is composite, 51 is composite
Show Solution
1
Check 29: Test divisors 2, 3, 4, 5 (up to √29 ≈ 5.4). None divide evenly, so 29 is prime.
2
Check 33: 33 ÷ 3 = 11 (no remainder), so 33 has factors other than 1 and itself. 33 is composite.
3
Check 51: 51 ÷ 3 = 17 (no remainder), so 51 has factors other than 1 and itself. 51 is composite.
