Six has four factors and is in between the twin primes 5 and 7.
It's a multiple of 5, a multiple of 6 (since it's between twin primes), and less than 50. The only possibility is 30. To check: The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30
Powers of primes
Assuming you are referring to the prime factors of the number, the product of the prime factors of any composite number is equal to the number itself.
Since there are infinitely many primes, there are infinitely many numbers that are products of 3 primes.
9 has the three factors 1,3 and 9 is one. 25 (1,5,25) is another. 7*7 = 49, 11*11 = 121. In general, all squares of primes (other than 2).
Factors are whole numbers that divide exactly into a whole number. These numbers have no remainder. Primes, on the other hand, have exactly two factors which are 1 and itself.
Any composite number will do. No primes!
Numbers with three factors are squares of primes: 4, 9, 25
It's a multiple of 5, a multiple of 6 (since it's between twin primes), and less than 50. The only possibility is 30. To check: The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30
Squares of primes.
105 and the primes are 3, 5, and 7
All numbers that are the square of primes have exactly 3 factors.
935
The squares of all primes have exactly 3 factors. The squares of primes under 40 are 4 (1, 2, and 4), 9 (1, 3, and 9), and 25 (1, 5, and 25).
15 has more than exactly two factors (1, 3, 5, and 15), therefore it is composite. 17, 19, and 23 each have exactly 2 factors (1 and the number itself), so they are primes.
Hi... Every integer can be expressed as the product of prime numbers (and these primes are it's factors). Since we can multiply any integer by 2 to create a larger integer which can also be expressed as the product of primes, and this number has more prime factors than the last, we can always get a bigger number with more prime factors. Therefore, there is no definable number with the most primes (much like there is no largest number)!
Two distinct prime factors, four altogether.