Study the numbers 84, 90 and 120 and answer the following.
MATHEMATICS · Multi-part · AoPS · Mathematics · Follow the Rules · Follow the Rules
Problem
Study the numbers 84, 90 and 120 and answer the following.
(i) Obtain the prime factorization of each of the three numbers.
(ii) Find the greatest number that will exactly divide each of 84, 90 and 120.
(iii) Find the least number that is exactly divisible by each of 84, 90 and 120.
(iv) Write the number obtained in part (iii) as a product of its prime factors and state, with reasons, whether this expression is unique.