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Can you solve the fish riddle?
Content Provider | TED Ed |
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Author | Wyborney, Steve |
Description | Prime numbers and divisibility play an important role in this riddle. One of the significant numbers in the riddle has exactly 4 factors – and 2 of those factors are prime numbers. Another number that fits that description is 35. The factors of 35 are 1, 5, 7, and 35. Notice that the 2 factors in the middle of the sequence of factors (5 and 7) are both prime numbers. Likewise, the number 15 has 4 factors, which include 1, 3, 5, and 15. Again the 2 factors in the middle of the sequence (3 and 5) are both prime numbers. Can you identify other numbers which have exactly 4 factors, and in which the middle two numbers in the sequence of factors are both prime? As an additional exploration, can you identify numbers which have exactly 4 factors, but do not have two prime numbers in the middle of the sequence? Why or why not? Is it possible that a number could have an odd number of factors, and if so, what would those numbers have in common? Love riddles involving numbers? Start here with: How many ways can you arrange a deck of cards? and Can you solve the counterfeit coin riddle? Not the least bit puzzled when solving riddles? TED Ed-has a whole section of riddles! Click here, sit down with your family or friends, and start solving them! |
Language | English |
Access Restriction | Open |
Subject Keyword | Mathematics Numbers & Operations Critical Thinking Problem Solving |
Content Type | Video |
Time Required | PT4M50S |
Education Level | Class IX Class X Class XI Class XII |
Pedagogy | Lecture cum Demonstration |
Resource Type | Video Lecture |
Subject | Number Sense and Numeration |