In radical form it is represented as 289 17.
Square root of 289 by prime factorization.
Prime factorization of 288.
All even numbers are divisible by 2.
The radicand no longer has any square factors.
The product obtained in step v is the required square root.
Square root by prime factorization method example 1 find the square root of 1156.
It is determined that the prime factors of number 289 are.
Iii combine the like square root terms using mathematical operations.
1156 2 x 578 2 x 2 x 289 2 x 2 x 17 x 17 1156 2 x 2 x 17 x 17 1156 2 x 17.
Is 2809 an odd number.
The simplified root of 289 is number 17.
Square root of 2809.
Also it s the only prime which is followed by another prime number three.
Is 2809 a composite number.
Factorization in a prime factors tree for the first 5000 prime numbers this calculator indicates the index of the prime number.
Ii inside the square root for every two same numbers multiplied one number can be taken out of the square root.
Is 2809 a prime number.
Thew following steps will be useful to find square root of a number by prime factorization.
Two is the smallest and the only even prime number.
Prime factorization of 290.
All radicals are now simplified.
I decompose the number inside the square root into prime factors.
Prime factors of 2809.
289 is divisible by the prime number 17 which results in 17.
Take one factor from each pair.
What is the square root of 288.
Is 2809 an even number.
Hence the prime factors of 289 are 17 17.
Find the product of factors obtained in step iv.
The result 17 cannot be divided any further as it is a prime number.
What is the square root of 290.
There are two methods by which we can calculate square root without using a calculator.
The value of the square root of 289 is equal to 17.
