Given n , I need the number of numbers which have exactly 8 divisors. Below 100 there are 10 numbers which satisfy the above condition. 24, 30, 40, 42, 54, 56, 66, 70, 78 and 88 .
How many numbers less than 500 are having exactly 3 factors?
Any product of a prime a with the square of another prime b will have 4 factors: a, b, b^2, and ab. Therefore, there are only 2 numbers less than 500 with exactly 3 factors.
How many numbers from 1 to 100 have exactly 3 factors?
The factors must be prime, since any non-prime factor would itself have factors, meaning we’d exclude for example 2 x 3 x 4 = 24 since 4 is 2 x 2, so 24 really has 4 factors. Prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23 – anything over this cannot result in a combined result of 100 or less (since 2 x 2 x n = 100 gives n = 25).
What are two numbers less than 50 that have exactly 3 factors?
You should have probably mentioned “2 digit numbers less than 50 that have exactly 3 factors”, because this is the property of a square number of a prime and there are 4 squares below 50 that are the squares of prime numbers. There are 4 numbers as shown below and two of them are 2 digit numbers and the remaining 2 numbers are single digit numbers.
Are there any prime numbers with exactly 3 factors?
So, there are no prime numbers with exactly three factors. Why are there 25 prime numbers from 1-100? Each of the 25 prime numbers from 1 to 100 has exactly two factors, 1 and the number itself. The other 75 numbers from 1 to 100 are not prime numbers because none of them have exactly two factors.
Which is the number with the most factors?
The following numbers under 100 have the most factors: 60, 72, 84, 90 and 96. They each have a total of 12 factors, including the number one and the number itself. As defined by Merriam-Webster, a factor is a number that divides evenly into another number.
