Prime Time
CBSE · Class 6 · Mathematics
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Quick Quiz: Prime Time
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What is the prime factorization of 72?
Find the HCF (Highest Common Factor) of 24 and 36.
How many prime numbers are there between 10 and 30?
What is the LCM (Least Common Multiple) of 12 and 18?
Sample Questions
Which numbers are factors of 36?
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4, 6, 9, 12
Factors of 36 are numbers that divide 36 exactly. Let's check: 36 ÷ 4 = 9 ✓, 36 ÷ 6 = 6 ✓, 36 ÷ 8 = 4.5 ✗, 36 ÷ 9 = 4 ✓, 36 ÷ 12 = 3 ✓, 36 ÷ 15 = 2.4 ✗. So factors are 4, 6, 9, and 12.
Are 15 and 28 co-prime numbers?
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True
Two numbers are co-prime if their HCF is 1. Prime factorization: 15 = 3 × 5, 28 = 2² × 7. Since 15 and 28 have no common prime factors, they are co-prime. We can verify: factors of 15 are 1, 3, 5, 15 and factors of 28 are 1, 2, 4, 7, 14, 28. Only common factor is 1.
Which of these numbers are composite?
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21, 27, 33
Composite numbers have more than 2 factors. Let's check: 21 = 3 × 7 (factors: 1, 3, 7, 21) - composite. 23 has only factors 1, 23 - prime. 27 = 3³ (factors: 1, 3, 9, 27) - composite. 29 has only factors 1, 29 - prime. 33 = 3 × 11 (factors: 1, 3, 11, 33) - composite.
If a number is divisible by both 4 and 6, it must be divisible by 24.
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False
This is false. If a number is divisible by both 4 and 6, it must be divisible by their LCM, not their product. LCM of 4 and 6 = 12 (since 4 = 2², 6 = 2 × 3, so LCM = 2² × 3 = 12). For example, 12 is divisible by both 4 and 6, but not by 24.
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Sources & Official References
- NCERT Official — ncert.nic.in
- CBSE Academic — cbseacademic.nic.in
- CBSE Official — cbse.gov.in
- National Education Policy 2020 — education.gov.in
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