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