Advertisements
Advertisements
प्रश्न
Find the smallest number by which the given number must be divided so that the resulting number is a perfect square:
14283
Advertisements
उत्तर
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
संबंधित प्रश्न
For the following number, find the smallest whole number by which it should be multiplied so as to get a perfect square number. Also find the square root of the square number so obtained.
1008
For the following number, find the smallest whole number by which it should be multiplied so as to get a perfect square number. Also find the square root of the square number so obtained.
1458
Write true (T) or false (F) for the following statement.
The square of a prime number is prime.
Find the smallest number by which 180 must be multiplied so that it becomes a perfect square. Also, find the square root of the perfect square so obtained.
Find the smallest number by which 147 must be multiplied so that it becomes a perfect square. Also, find the square root of the number so obtained.
Find the least square number, exactly divisible by each one of the numbers:
(i) 6, 9, 15 and 20
Examine if the following is a perfect square.
841
Find the square root by prime factorisation method
9025
Find the cube root of 729 and 6859 prime factorisation
Find the least square number which is exactly divisible by 3, 4, 5, 6 and 8.
