Question

How do you find prime factorisation of $153$ ?

Answer 1

Hint: Prime factorisation is the process of finding the prime numbers, which are multiplied together to get the original number. First, we will start by dividing by the first prime number and continue to divide until we get a remainder. Now just write the number as a product of prime numbers.

Complete step-by-step answer:
The prime numbers are the whole numbers greater than $$1$$ , that have only two factors $$1$$ and the number itself. Prime numbers are divisible only by the number $$1$$ or itself. There is no defined formula to find if a number is prime or not other than finding its factors. Every number greater than one can be divided by at least one prime number. Two prime numbers are always coprime to each other. A prime number has two factors only. $$1$$ is not considered a prime number. A whole number that can be written as the product of two smaller numbers is called a composite number.
 $153$ is a composite number. We will start by finding the factors of $153$ . So, the factors of $153$ are: $153=1,3,9,17,51,153$ .
Now we will find the factor pairs of $153$ .
Factors of $153$ can be $1\times 153$ , $3\times 51$ or $9\times 17$ .
So, the final prime factorisation of $153$ will be $3\times 3,17$ .
So, the correct answer is “ $3\times 3,17$ ”.

Note: Always remember that the prime factors of an integer are the prime numbers that divide that integer exactly. The prime factorisation of a positive integer is a list of the integer’s prime factors, together with their multiplicities; the process of determining these factors is called prime factorisation.