Divisor Input : N = 49 Output : 4 9 25 49 4, 9, 25 and 49 have exactly three divisors.
What is a number with three factors?
Squares of prime numbers are the only numbers that have exactly three factors. The other numbers under 100 with odd numbers of factors are one, 16, 36 and 81. The numbers 16 and 81 have five factors, while 36 has nine factors.
What is the largest 3 digit number having exactly 3 factors?
Only way a number has exactly 3 factors is when it is a square of a prime number. We have to find number of prime numbers between 10 and 31. Thats is 11,13,17,19,23,29,31. There are 7 such numbers.
How many numbers less than 1000 have exactly 3 factors?
A quick google search tells me that the first primes are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, and 31. So that’s 11 prime numbers whose squares will be natural numbers less than 1000 with exactly 3 factors.
How many factors does a prime number have?
Usually any number has 2 factors ie., 1 and itself and we know that the factors exist in pairs. So for a number, to have 3 factors it should be perfect square of a prime number. We have got 7 such 3 digit numbers.
What is the difficulty of the prime factor?
Prime Factor. Difficulty Level : Easy. Last Updated : 10 Dec, 2018. Prime factor is the factor of the given number which is a prime number. Factors are the numbers you multiply together to get another number. In simple words, prime factor is finding which prime numbers multiply together to make the original number.
How many three digit numbers have exactly three factors?
If N = a^p * b^q * c^r *…. , where a, b, and c are prime factors and p, q, and r are integers, then the number of factors of N = (p+1)(q+1)(r+1)……. In this problem, we have to find the three digit numbers, which have exactly three factors. 3 can be written only as (2+1), which implies ‘p’ is 2.
Are there any factors that make 53 a prime number?
The only factors of 53 are 1 and 53. So, 53 is a prime number. Check if 64 is a prime number or not? The factors of 64 are 1, 2, 4, 8, 16, 32, 64. Hence it is a composite number and not a prime number. How to Find Prime Numbers? To find whether a number is prime, try dividing it with the prime numbers 2, 3, 5, 7 and 11.
