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Use factors, prime and square number properties to explain and simplify calculations.
Free examples and worked answers. No account needed.
Practise the method.
Use factors, prime and square number properties to explain and simplify calculations.
Use factors, prime and square number properties to explain and simplify calculations.
Example 1
Which statement correctly classifies 17?
Show worked answer
Answer: Prime: exactly two positive factors
- Its positive factors are 1,17.
- 17 has exactly two positive factors, so it is prime.
Example 2
A number has prime factors 7,7 and 5, counted with repetition. What is the number?
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Answer: 245
- First multiply the repeated pair: 7×7=49.
- Include the remaining prime factor: 49×5=245.
Example 3
Why is 1 neither prime nor composite?
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Answer: It has exactly one positive factor.
- The only positive factor of 1 is 1.
- Prime numbers have exactly two positive factors; composite numbers have more than two.
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