Answers to Who Am I?
by Georgia M. P. Scott
inVirginia Mathematics Teacher

1. I am the largest prime number which is less than 36.
   Who am I?     31
2. I am the smallest even number which when rounded to the nearest ten is 90.
   Who am I?     86
3. I am the least common multiple of 9 and 12.
   Who am I?     36
4. I am the largest composite number which is less than 20.
   Who am I?     18
5. I am the largest prime number which, when rounded to the nearest ten, is 40.
   Who am I?     43
   
   
6. I am the only prime number between 48 and 58.
   Who am I?     53
7. I am an even number greater than 7.   I am also a common factor of 12 and 36.
   Who am I?     12
8. I am the largest composite number which, when rounded to the nearest ten, is 40.
   Who am I?    44
9. I am an odd composite number.   When rounded to the nearest ten, you get 10.
   Who am I?    9
10. I am between 20 and 50.   I am a multiple of 13.   I am odd.
    Who am I?    39
    
    
11. I am an even prime number.
    Who am I?    2
12. I am the smallest number having exactly six distinct prime factors.
    Who am I?    30,030
13. I am the only common factor of 251 and 673.
    Who am I?     1
14. Dividing a number by me gives the same answer as multiplying the number by 3.
    Who am I?     1/3
15. I am the only common factor of 211 and 811.
    Who am I?     1
    
    
16. If you multiply me by 9, you get 45.
    Who am I?     5
17. I am the smallest even number which, when rounded to the nearest hundred, is 300.
    Who am I?    250
18. If you divide me by 1/4, you get 7.
    Who am I?     7/4
19. I have only one multiple.
    Who am I?     1
20. I am between 20 and 30.   I am a multiple of 7.   I am even.
    Who am I?     28
    
    
21. I am a common multiple of 6 and 9.   I am a factor of 18.
    Who am I?     18
22. I am an odd number.   I am a multiple of 5.
    When you round me to the nearest ten, you get 30.
    Who am I?     25
23. I am the least common multiple of 6 and 9.
    Who am I?     18
24. I am the greatest common factor of 30 and 48.
    Who am I?     6
25. I have exactly three prime factors.   Two of my three factors are even.
    When you round me to the nearest ten, you get 50.
    Who am I?    52
    (Note: 45 and 50 also have 3 prime factors and round to 50,
    but they have 2 odd factors)

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