
Find the square root by prime factorization method of 1156.
Answer
523.2k+ views
Hint – The square root of any number P is . Write down all the factors of the given numbers and we are concerned about the prime factors only. Use these two concepts in togetherness to get the answer.
Complete step-by-step answer:
We have to find out the square root of 1156 using the prime factorization method.
……………………. (1)
So, first factorize the given number.
Therefore 1156 factorization , (where, 2 and 17 is a prime number)
A number is called a prime number if the factor of the number is either 1 or itself.
So, 2 is multiplied two times and 17 is also multiplied two times together to make the original number.
Prime factorization of 1156
So substitute this value in above equation we have,
Now simplify the above equation we have,
So this is the required cube root using the prime factorization method.
Note – Prime factorization means finding the prime numbers which get multiplied together to form the original number. Now there is a trick to find the square root of any number without using prime factorization. First of all we need to remember all the square roots of numbers from 1 to 10, another thing that we need to remember is if the last digit of the number whose square is to find is 1, 4, 5, 6, 9 ,0 .
Complete step-by-step answer:
We have to find out the square root of 1156 using the prime factorization method.
So, first factorize the given number.
Therefore 1156 factorization
A number is called a prime number if the factor of the number is either 1 or itself.
So, 2 is multiplied two times and 17 is also multiplied two times together to make the original number.
So substitute this value in above equation we have,
Now simplify the above equation we have,
So this is the required cube root using the prime factorization method.
Note – Prime factorization means finding the prime numbers which get multiplied together to form the original number. Now there is a trick to find the square root of any number without using prime factorization. First of all we need to remember all the square roots of numbers from 1 to 10, another thing that we need to remember is if the last digit of the number whose square is to find is 1, 4, 5, 6, 9 ,0 .
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