What is the continuous division method of 648?

Answer 1

The continuous division method for finding the prime factorization of 648 involves repeatedly dividing the number by its smallest prime factors. Starting with 648, you divide by 2 (the smallest prime) to get 324, then divide 324 by 2 to get 162, and again by 2 to get 81. Since 81 is no longer divisible by 2, you then divide by 3 to get 27, then by 3 again to get 9, and finally by 3 to get 3, and then once more to get 1. The prime factorization of 648 is therefore (2^3 \times 3^4).