Advertisements
Advertisements
प्रश्न
Find the smallest number by which the given number must bew multiplied so that the product is a perfect square:
23805
Advertisements
उत्तर
Factorise each number into its prime factors.
23805 = 3 x 3 x 5 x 23 x 23
Grouping 23805 into pairs of equal factors:
23805 = (3 x 3) x (23 x 23) x 5
Here, the factor 5 does not occur in pairs. To be a perfect square, every prime factor has to be in pairs. Hence, the smallest number by which 23805 must be multiplied is 5.
APPEARS IN
संबंधित प्रश्न
Find the square root of the following number by the prime factorisation method.
7744
Find the smallest number by which the given number must bew multiplied so that the product is a perfect square:
7688
By just examining the units digit, can you tell which of the following cannot be whole square?
1026
Write true (T) or false (F) for the following statement.
The square of a prime number is prime.
Find the squares of the following numbers using column method. Verify the result by finding the square using the usual multiplication:
25
Find the square root the following by prime factorization.
24336
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.
Write the prime factorization of the following number and hence find their square root.
9604
Out of 745 students, maximum are to be arranged in the school field for a P.T. display, such that the number of rows is equal to the number of columns. Find the number of rows if 16 students were left out after the arrangement.
Examine if the following is a perfect square.
841
