There are a few numbers that are less than 19 and have more than 4 factors. The number 10 is less than 19 and has more than four factors.
The numbers for which the sum of its proper factors is 1 less than the number is the powers of 2; less than 50 these are: 2, 4, 8, 16 & 32.
There are four odd numbers less that 100 that have 6 factor. This does not compare with even numbers that have 12 factors!
The most factors any odd number less than 100 has is 6. There are 4 numbers which have 6 factors:45, 63, 75 & 99.
Products will be greater unless your number set includes a number less than 1.
There are 12 numbers less than 150 which have an odd number of factors: 1,4,9,16,25,36,49,64,81,100,121,144.
There are a few numbers that are less than 19 and have more than 4 factors. The number 10 is less than 19 and has more than four factors.
There are 31 numbers less than 1,000 which have an odd number of factors. They are: 1,4,9,16,25,36,49,64,81,100,121,144,169,196,225,256,289,324,361,400,441,484,529,576,625,676,729,784,841,900,961.
The three greatest whole numbers less than 200 that each have an odd number of factors are 144, 169 and 196.
Prime numbers have two factors. Composite numbers have more than two. Numbers with less than two are neither.
The numbers for which the sum of its proper factors is 1 less than the number is the powers of 2; less than 50 these are: 2, 4, 8, 16 & 32.
There are four odd numbers less that 100 that have 6 factor. This does not compare with even numbers that have 12 factors!
Perfect squares have an odd number of factors. There are 31 perfect squares less than 1000.
The most factors any odd number less than 100 has is 6. There are 4 numbers which have 6 factors:45, 63, 75 & 99.
Products will be greater unless your number set includes a number less than 1.
Because all of the numbers less than 1260 have fewer 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.