Question

Write 30 as a product of primes.

Answer 1

2×3×5

Explanation:

• The number 30 is a composite number. Now let us find the prime factors of it.
• The first step is to divide the number 30 with the smallest prime number, i.e. 2.
• 30 ÷ 2 = 15
• Again, divide 15 by 2.
• 15 ÷ 2 = 7.5; factor cannot be a fraction.
• Now, proceed to the next prime number, i.e. 3 and divide 15 with it.
• 15 ÷ 3 = 5
• Again, if we divide 5 by 3, we get a fraction number, which we cannot consider as a factor.
• Therefore, we will move to the next prime number, which is 5.
• 5 ÷ 5 = 1
• We have received 1 at the end and further, we cannot proceed with the division method. So, the prime factorisation of 30 is 2 × 3 × 5, where 2, 3 and 5 are the prime numbers.