Question

what is pime factor​

Answer 1

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what is prime factor?

Answer:

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.

More to know:

Example of prime factor:

Let us take an example to find prime factors of 210.

We need to divide 210 by the first prime number 2 we get 105.

Now we need to divide 105 by the prime number 3 and we get 35.

Again we need to divide 35 by the prime number 5 and we get 7.

And, again we need to divide 7 by the prime number 7 and we get 1.

Therefore, 210 = 2 × 3 × 5 × 7

Some interesting fact about Prime Factor :

There is only one (unique!) set of prime factors for any number.

In order to maintain this property of unique prime factorizations, it is necessary that the number one, 1, be categorized as neither prime nor composite.

Prime factorizations can help us with divisibility, simplifying fractions, and finding common denominators for fractions.

Pollard’s Rho is a prime factorization algorithm, particularly fast for a large composite number with small prime factors.

Cryptography is the study of secret codes. Prime Factorization is very important to people who try to make (or break) secret codes based on numbers.

How to print a prime factor of a number?

Naive solution:

Given a number n, write a function to print all prime factors of n. For example, if the input number is 12, then output should be “2 2 3” and if the input number is 315, then output should be “3 3 5 7”.