Advertisements
Advertisements
Question
Find the smallest number by which the given number must be divided so that the resulting number is a perfect square:
14283
Advertisements
Solution
For each question, factorise the number into its prime factors.
14283 = 3 x 3 x 3 x 23 x 23
Grouping the factors into pairs:
14283 = (3 x 3) x (23 x 23) x 3
Here, the factor 3 does not occur in pairs. To be a perfect square, all the factors have to be in pairs. Hence, the smallest number by which 14283 must be divided for it to be a perfect square is 3.
APPEARS IN
RELATED QUESTIONS
Find the square root of the following number by the prime factorisation method.
9216
Write true (T) or false (F) for the following statement.
The number of digits in a square number is even.
Write true (T) or false (F) for the following statement.
The sum of two square numbers is a square number.
Write true (T) or false (F) for the following statement.
No square number is negative.
Write true (T) or false (F) for the following statement.
There are fourteen square number upto 200.
Find the square root the following by prime factorization.
27225
By splitting into prime factors, find the square root of 11025.
Find the square root by prime factorisation method
784
Using prime factorisation, find which of the following are perfect squares.
11250
Using prime factorisation, find the square roots of 11025
