Olympiad workbook
- Exam
- Olympiad workbook
- Subject
- IOQM
- Chapter
- Permutation and Combination
Olympiad workbook · IOQM · Permutation and Combination
How many two digit numbers have exactly 4 positive factors? (Here 1...
How many two digit numbers have exactly 4 positive factors? (Here 1 and the number are also considered as factors of .)
Correct answer
30
Step-by-step solution
Two digit numbers with 4 positive factors are either the product of two prime numbers or perfect cubes.
i.e. , 2.47
3.5, 3.7, 3.11, 3.31
5.7, 5.11, 5.13, 5.19
7.11, 7.13;
and
Total numbers