Class sixth chapter number three, number, play CBSE Ghanta Prakash

Answer: The prime factorisation of $60$ is $2 \times 2 \times 3 \times 5$ (or $2^2 \times 3 \times 5$ ).

Step-by-step solution

Step 1: Divide by the smallest prime factor

We begin by dividing $60$ by the smallest prime number that divides it completely, which is $2$ . This gives a quotient of $30$ .

Step 2: Factorise the composite factor

Next, we factorise the composite quotient $30$ . Dividing $30$ by $2$ gives $15$ .

Step 3: Continue dividing by prime numbers

Now, $15$ is not divisible by $2$ , so we test the next smallest prime number, which is $3$ . Dividing $15$ by $3$ gives $5$ , which is itself a prime number.

Step 4: Write the complete prime factorisation

Collecting all the prime factors from our steps, we express $60$ as the product of its prime factors: $2 \times 2 \times 3 \times 5$ , or in exponential notation as $2^2 \times 3 \times 5$ .

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