Question

Express 10544 in prime factors. What is the least number by which it must be multiplied to give
(1) a perfect square (2) a perfect cube,​

Answer 1

Answer:

a) 659

b) 17,37,124

Step-by-step explanation:

10,544 = 2 × 2 × 2 × 2 × 659

to get a perfect square multiply 10544 with 659

10544 × 659 = 69,48,496

√6948496 = 2636

to get a perfect cube multiply 10544 with 17,37,124

10544 × 1737124 = 18,31,62,35,456

18,316,235,456 = 2636 × 2636 × 2636

cube root is = 2636

hope you get your answer