What is the continuous division method of 36?

Answer 1

The continuous division method, also known as the factorization method, involves dividing a number by its prime factors until only 1 remains. For the number 36, you start by dividing it by the smallest Prime number, which is 2: (36 \div 2 = 18). You continue dividing 18 by 2, yielding (18 \div 2 = 9). Then, you divide 9 by the next smallest prime number, 3, resulting in (9 \div 3 = 3), and finally (3 \div 3 = 1). The prime factorization of 36 is therefore (2^2 \times 3^2).