Question 1 :
How many prime prime numbers are between 11 and 60?
Question 2 :
Find the number of distinct prime factors of the smallest 4 digit number.
Question 3 :
Find the sum of distinct prime factors of 30.
Question 4 :
Write the smallest and the biggest three digit composite number.
Question 5 :
Write the smallest and the biggest two digit prime number.
Question 6 :
The sum of any three odd natural numbers is odd. Justify this statement with an example.
Question 7 :
The digits of the prime number 13 can be reversed to get another prime number 31. Find if any such pairs exist up to 100.
Question 8 :
Your friend says that every odd number is prime. Give an example to prove him/her wrong.
Question 9 :
Each of the composite numbers has at least three factors. Justify this statement with an example.
Question 10 :
I am a two digit prime number and the sum of my digits is 10. I am also one of the factors of 57. Who am I?
Question 11 :
I am a two digit composite number less than 30. If 2, 3, 4, 6 and 8 are my factors, who am I?
Question 12 :
How many even prime numbers are there ?
Question 13 :
Explain why 6 is a perfect number.
Question 14 :
Write 2 two digit composite numbers which are evenly divisibly by 5, and 7.
Question 15 :
Generate a three digit composite number with different digits that is evenly divisible by 11.
1. Answer :
12
2. Answer :
2
3. Answer :
10
4. Answer :
smallest ----> 100; biggest ----> 999
5. Answer :
smallest ----> 11; biggest ----> 97
6. Answer :
True. 3 + 7 + 9 = 19 is odd
7. Answer :
(17, 71),(37,73) & (79,97)
8. Answer :
False. 9 is odd number but not prime
9. Answer :
True. The composite number 4 has 3 factors namely 1, 2, and 4.
10. Answer :
19
11. Answer :
24
12. Answer :
Only one. That is 2.
13. Answer :
6 is a perfect number, since adding the factors of 6 (other than 6), namely 1, 2 and 3 gives the given number 6. That is, 1 + 2 + 3 = 6 is the given number.
14. Answer :
35 and 70
15. Answer :
132
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