Numbers with exactly 6 factors are perfect squares of prime numbers. The prime factorization of a number with exactly 6 factors is in the form ( p^2 ), where ( p ) is a prime number. There are 10 prime numbers less than 30: 2, 3, 5, 7, 11, 13, 17, 19, 23, and 29. So, there are 10 numbers less than 30 that have exactly 6 factors.
None The even numbers 60, 72, 84, 90, and 96 each have 12 factors
Prime numbers
There are four odd numbers less that 100 that have 6 factor. This does not compare with even numbers that have 12 factors!
10,20,30,40,50,60,70,80,90
The three greatest whole numbers less than 200 that each have an odd number of factors are 144, 169 and 196.
60, 72, 84, 90 and 96 each have twelve factors.
The numbers 60, 72, 84, 90, and 96 each have 12 factors.
The numbers 60, 72, 84, 90, and 96 each have 12 factors.
The numbers 60, 72, 84, 90, and 96 each have 12 factors.
Numbers with exactly 6 factors are perfect squares of prime numbers. The prime factorization of a number with exactly 6 factors is in the form ( p^2 ), where ( p ) is a prime number. There are 10 prime numbers less than 30: 2, 3, 5, 7, 11, 13, 17, 19, 23, and 29. So, there are 10 numbers less than 30 that have exactly 6 factors.
None The even numbers 60, 72, 84, 90, and 96 each have 12 factors
196, 169, 144
You look for a table of prime numbers. Or you try out each integer from 2-100, to see which ones don't have smaller factors. For numbers less to 100, it is enough to check whether each number is divisible by 2, 3, 5 and 7.
Prime numbers
6 (1,2,3,6) 10 (1,2,5,10) and 15 (1,3,5,15).
6, 8 and 10 are three out of 32 possible answers.