Since the number is a perfect square you will be able to make an exact number of pairs of prime factors.
Square root of 5625 by prime factorization.
Ii inside the square root for every two same numbers multiplied one number can be taken out of the square root.
Square root of 5625.
Take one factor from each pair.
Thus the square root of 5625 is 75.
All odd multiples of five border again with the five all even with zero.
Prime factorization of 5625.
Is 5625 an even number.
Thew following steps will be useful to find square root of a number by prime factorization.
I decompose the number inside the square root into prime factors.
Five is a prime number.
Is 5625 an odd number.
Is 5625 an odd number.
Find the square root of the following numbers by prime factorization.
Find the product of factors obtained in step iv.
A 3844 b 5625 c 6561 d 7056.
Is 5625 a composite number.
The product obtained in step v is the required square root.
Prime factors of 5625.
Is 5625 a composite number.
Integers with a last digit as a zero or a five in the decimal system are divisible by five.
Is 5625 a prime number.
The prime factors of 5625 is 3 x 3 x 5 x 5 x 5 x 5.
Cubed root of 5625.
Is 5625 a prime number.
Square root by prime factorization method example 1 find the square root.
Integers with a last digit as a zero or a five in the decimal system are divisible by five.
Is 5625 an even number.
Hence 3 2 x 5 2 x 5 2 5625.