Which number has the first 6 prime numbers as its prime factors?

R D Sharma – Mathematics 9 An integer greater than one is called a prime number if its only positive divisors (factors) are one and itself. For example, the prime divisors of 10 are 2 and 5, and the first six primes are 2, 3, 5, 7, 11, and 13.

What is the implication of positive integer a being co prime to integer n?

The number of integers coprime with a positive integer n, between 1 and n, is given by Euler’s totient function, also known as Euler’s phi function, φ(n). A set of integers can also be called coprime if its elements share no common positive factor except 1.

What is the smallest positive integer that has exactly k divisors?

64 is the smallest. It has these 7 factors: 1,2,4,8,16,32, and 64.

How do you find the distinct prime divisors of a number?

Then to calculate the distinct prime factorization of the given number by dividing the given number recursively with its smallest prime factor till it becomes 1. To calculate to smallest prime factor for every number we will use the sieve of eratosthenes.

What’s the prime factorization of 80?

The factors of 80 are 1, 2, 5, 10, 20, 40, and 80. A prime number does not have a factor other than 1 and itself. So, the prime factors of 80 are 2 and 5. Hence, prime factors of 80 are 2 and 5.

What is the prime factorization tree for 48?

Factors of 48 are the list of integers that can be evenly divided into 48. It has a total of 10 factors of which 48 is the biggest factor and the prime factors of 48 are 2 and 3. The Prime Factorization of 48 is 24 × 3….Positive Pair Factors of 48.

Factors	Pair Factors
3 × 16 = 48	3, 16
4 × 12 = 48	4, 12
6 × 8 = 48	6, 8

What is co-prime number give example?

Co-prime numbers are the numbers whose common factor is only 1. There should be a minimum of two numbers to form a set of co-prime numbers. Such numbers have only 1 as their highest common factor, for example, {4 and 7}, {5, 7, 9} are co-prime numbers.

What is the least positive integer with exactly five distinct positive factors?

The smallest is 36 with factors 1, 2, 3, 4, 6, 9, 12, 18, 36. So the answer is 36. If you want proper factors (excluding the number itself) the answer is 48, and I gave you the formula to calculate this.

What is distinct prime?

Distinct prime factors are the prime factors of a number that are different from one another.

What is a prime number with no divisors?

A prime number is a natural number greater than 1 that has no positive integer divisors other than 1 and itself. For example, 5 is a prime number because it has no positive divisors other than 1 and 5.

Are all positive integers greater than 1 Prime or composite?

All positive integers greater than 1 are either prime or composite. 1 is the only positive integer that is neither prime nor composite. Prime numbers are critical for the study of number theory.

How do you find the largest prime factor of a number?

Find the largest prime factor of a number. Recommended: Please try your approach on {IDE} first, before moving on to the solution. The approach is simple, just factorise the given number by dividing it with the divisor of a number and keep updating the maximum prime factor.

Is 4 a prime number or a composite number?

For example, 4 is a composite number because it has three positive divisors: 1, 2, and 4. All positive integers greater than 1 are either prime or composite. 1 is the only positive integer that is neither prime nor composite. Prime numbers are critical for the study of number theory.