Advertisements
Advertisements
प्रश्न
By what numbers should each of the following be divided to get a perfect square? Also, find the number whose square is the new number.
3174
Advertisements
उत्तर
3174 = 2 x 3 x 23 x 23
Grouping them into pairs of equal factors:
3174 = 2 x 3 x (23 x 23)
The factors, 2 and 3 are not paired. For a number to be a perfect square, each prime factor has to be paired. Hence, 3174 must be divided by 6 (2 x 3) for it to be a perfect square.
The new number would be (23 x 23).
Hence, the number whose square is the new number is 23.
APPEARS IN
संबंधित प्रश्न
Which of the following numbers are perfect squares?
576
Which of the following numbers are perfect square?
50
Which of the following numbers are perfect square?
111
Using prime factorization method, find which of the following numbers are perfect square?
2916
By what numbers should each of the following be divided to get a perfect square ? Also, find the number whose square is the new number.
1575
Find the least number of three digits which is perfect square.
Find the smallest number by which 4851 must be multiplied so that the product becomes a perfect suqare.
Find the smallest number by which 1152 must be divided so that it becomes a perfect square. Also, find the number whose square is the resulting number.
Show that the following number is not perfect square:
9327
A square number will not have odd number of zeros at the end
