Advertisements
Advertisements
Question
Using prime factorization method, find which of the following numbers are perfect square?
441
Advertisements
Solution
441 = 3 x 3 x 7 x 7
Grouping them into pairs of equal factors:
441 = (3 x 3) x (7 x 7)
There are no left out of pairs. Hence, 441 is a perfect square.
APPEARS IN
RELATED QUESTIONS
Show that each of the following numbers is a perfect square. Also, find the number whose square is the given number in each case:
1156
Which of the following numbers are perfect square?
79
By what number should each of the following numbers be multiplied to get a perfect square? Also, find the number whose square is the new number.
605
By what number should each of the following numbers be multiplied to get a perfect square? Also, find the number whose square is the new number.
2880
By what number should each of the following numbers be multiplied to get a perfect square? Also, find the number whose square is the new number.
4056
The following number is not perfect square. Give reason.
8948
Which of following number is square number ______________
What is next square number of 49?
A farmer wants to plough his square field of side 150 m. How much area will he have to plough?
A king wanted to reward his advisor, a wise man of the kingdom. So he asked the wiseman to name his own reward. The wiseman thanked the king but said that he would ask only for some gold coins each day for a month. The coins were to be counted out in a pattern of one coin for the first day, 3 coins for the second day, 5 coins for the third day and so on for 30 days. Without making calculations, find how many coins will the advisor get in that month?
