which smallest natural number is 60.find the prime nos.
Answers
Answer:
Use a factor tree to express 60 as a product of prime factors. So the prime factorization of 60 is 2 × 2 × 3 × 5, which can be written as 2 2 × 3 × 5. The actual prime factors of 60 are 2, 3, and 5.
Answer:
15 is the smallest one
Step-by-step explanation:
What is the smallest number by which 60 must be multiplied to be a perfect square?
Given no. is 60
Let us try to find at least 2 nos a and b such that:
a x b = 60
at least one of them is a perfect square
60 = 30 x 2 ; 60 = 20 x 3 ; 60 = 12 x 5; 60 = 10 x 6
In the above cases, Neither a nor b is a perfect square.
The next possibility is,
60 = 15 x 4
4 is already a perfect square. No treatment required => 4 x 1 = 4
15 is not a square: It should be multiplied with 15 to make a perfect square => 15 x 1 5 = 225
Final number = 60 x (1 x 15) = 900, which is a perfect square.
Ans: 15 is the smallest number by which 60 must be multiplied to be a perfect square.