Python 2, 135 122 bytes
- Quite long since this includes all the procedures: prime-check, obtain-prime factors and check sphere number condition.
lambda x:(lambda t:len(t)==3and t[0]*t[1]*t[2]==x)([i for i in range(2,x)if x%i<1and i>1and all(i%j for j in range(2,i))])