What is my number? - Math Central

HOME

Math Central

Quandaries & Queries

Question from Hanna, a student:

What is my number?
My number is a perfect square.
The only number in its prime factorization is 2.
My number is a factor of 32.
The sum of its digits is odd.

Hanna,

Since the only prime in the prime factorization is 2 your number must be a power of 2. Calculate powers of 2¹, 2², 2³, 2⁴, ... and for each one check to see if it meets the other requirements.

Penny

Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences.