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How many numbers are there less than thirty have exactly 6 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.
How many whole numbers less than 2010 have exactly three factors?
14 (I think).
How many numbers less than 100 have 5 factors?
10,20,30,40,50,60,70,80,90
How many positive integers less than 50 have exactly 2 factors?
There are 17.
How many factors does a prime?
Prime numbers have two factors.
How many numbers are there less than thirty have exactly 6 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.
How many natural numbers less than 1000 will have exactly 3 factors?
11
How many numbers less than 100 have exactly nine distinct factors?
Just 36.
How many whole numbers less than 2010 have exactly three factors?
14 (I think).
How many numbers have exactly two factors?
Prime numbers have exactly two numbers. There is theoretically an infinite number of them.
What numbers have exactly twelve factors?
There are infinitely many such numbers. For example, take any prime number to the 11th power and the result will have exactly twelve factors.
How many natural numbers less than 1000 have exactly three distinct positive integer divisors?
Prime squares have three factors. There are 11 of them in that range.
How many square numbers are between 1 and 1000 that have five factors?
There are three of them with exactly five factors.
How many numbers less than 100 have 5 factors?
10,20,30,40,50,60,70,80,90
How many positive integers less than 100 have exactly 4 factors?
32
How many positive integers less than 50 have exactly 2 factors?
There are 17.
How many numbers are greater than 76 but less than 89?
Twelve numbers exactly are greater than 76 and less than 89.
