29.7k views
0 votes
What is the least whole number that has exactly 9 factors, including 1 and itself?

User Yutaka
by
8.3k points

1 Answer

5 votes
If the whole number has exactly 9 (odd number) factors, it will have to be a perfect square.
All squares of primes have exactly three factors.
So start with perfect squares (skipping perfect squares of primes)
4^2=16 {1,2,4,8,16} 5 factors.
6^2=36 {1,2,3,4,6,9,12,18,36} 9 factors.

Answer: 36 is the least whole number that has exactly 9 factors.
User Hariharan B
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories