Podcast
Questions and Answers
Which of the following numbers is not divisible by 2?
Which of the following numbers is not divisible by 2?
What is the prime factorization of 120?
What is the prime factorization of 120?
What is the greatest common factor (G.C.F) of 21 and 28?
What is the greatest common factor (G.C.F) of 21 and 28?
What is the least common multiple (L.C.M) of 12 and 36?
What is the least common multiple (L.C.M) of 12 and 36?
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Which number is the smallest number divisible by 2, 3, and 5?
Which number is the smallest number divisible by 2, 3, and 5?
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Study Notes
Divisibility Rules
- Numbers divisible by 2: Even numbers (e.g., 4, 8, 12).
- Numbers divisible by 3: Sum of the digits is divisible by 3 (e.g., 9, 21, 36).
- Numbers divisible by 5: End in a 0 or 5 (e.g., 10, 25, 50)
Prime Factorization
- Prime factorization of 120: 2 x 2 x 2 x 3 x 5
Prime Factors and Numbers
- Number with prime factors 2, 2, 2, 3, 3: 2 x 2 x 2 x 3 x 3 = 72
Greatest Common Factor
- GCF of 21 and 28: 7 (the largest number that divides both 21 and 28)
- GCF of 8 and 12: 4 (the largest number that divides both 8 and 12)
- GCF of 15 and 16: 1 (the largest number that divides both 15 and 16)
Least Common Multiple
- Smallest number divisible by 2, 3, and 5: 30 (The LCM of 2, 3, and 5)
- Number divisible by 2, 3, 4, 5, 6, and 10: 60
- LCM of 12 and 36: 36 (The smallest number that both 12 and 36 divide into)
- LCM of 18 and 28: 252 (Use a Venn Diagram to find the factors shared and not shared)
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Description
Test your knowledge on divisibility rules, prime factorization, greatest common factor (GCF), and least common multiple (LCM) through this engaging quiz. Understand how to identify and calculate key mathematical properties related to numbers. Perfect for reinforcing your math skills in these important areas!
