Question

1089 : in square root with prime factorisation

Answer 1

Step-by-step explanation:

Factors of 1089 by Prime Factorization

The number 1089 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 1089. The first step is to divide the number 1089 with the smallest prime factor, here it is 3. We keep dividing until it gives a non-zero remainder.

•1089 ÷ 3 = 363

•363 ÷ 3 = 121

Further dividing 121 by 3 gives a non-zero remainder. So we stop the process and continue dividing the number 121 by the next smallest prime factor. We stop ultimately if the next prime factor doesn't exist or when we can't divide any further.

So, the prime factorization of 1089 can be written as 32 × 112 where 3, 11 are prime.