Prime Factorization (Easy)
AMC 10 Q1–8 depth — contest entry, not school drills.
Prime Factorization: core idea
Factor small n.
Example problem: hint and answer
Find the prime factorization exponent of in .
Hint: Factor into primes, then use exponents. Answer: 3.
Practice (9 problems — type your answers)
1. How many positive divisors does have?
2. Find the greatest prime factor of .
3. What is ?
4. What is ?
5. How many distinct prime factors does have?
6. Find the smallest prime factor of .
7. What is the product of the distinct prime factors of ?
8. How many factors of are odd?
9. Find the exponent of in .