The positive integers and satisfy

What is the value of ?

28

(prime factors)

From our combinatorics knowledge, we have the following combinations of factors

Clearly, only fits our condition of the form and

Solving, we find that and .

Question of the Day #162016-04-102016-04-07http://theculture.sg/wp-content/uploads/2018/03/the-culture-logo.pngThe Culture SGhttp://theculture.sg/wp-content/uploads/2018/03/the-culture-logo.png200px200px

About

KS TengKS has been teaching H2/H1 Mathematics and IB mathematics for the more than 10 years. Having taught students from all various Junior Colleges, KS adapts to students' abilities and help them better understand the topics. As someone who loves to teach mathematics and sees it as a truly useful tool in life, KS seeks to enable students to appreciate math. Therefore, his tuition mission is to motivate and cultivate students to be independent and confident thinkers.