Question

Find a square root of 5929 BY Prime factorization

Answer 1

5929 prime factorization

are 7×7×11×11

7 5929

/ \

7 847

/ \

11 121

/ \

11. 11

\

1

$\sqrt{5929 = } 7 \times 7 \times 11 \times 11 \\ = 7 \times 11 \\ = 77$

this is the answer

Answer 2

Answer:

The correct answer is 77

Explanation:

Given: 5929

To find: Square root of 5929 using Prime Factorisation Method.

Calculation:

We will find the prime factorization by these three steps:

• Step 1

Write the prime factors of 5929:

Express 5929 as factors of prime no.

$5929 = 7*7*11*11$

• Step 2

Group the factors:

$5929 = (7*7) * (11*11)$

• Step 3

Find the square root:

$5929 = 7*7*11*11$

$\sqrt{5929} = \sqrt{7^{2}*11^{2} }$

$= 7*11\\= 77$

Prime factorization:

Prime factorisation is the process of determining the prime factors of a given number, such as a composite number. These factors are simply prime numbers. A prime number is one with only two elements, one and the number itself. For instance, 2 is a prime number with two elements, 2 1.

Note:

What are the four different kinds of factoring?

• The Greatest common factor (GCF), the Grouping method, the difference in two squares, and the sum or difference in cubes are the four primary kinds of factoring.

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