Question

find by prime factorization method the square root of the following number 15129​

Answer 1

Given:

15129

To find:

Square root of 15129.

Solution:

1) Prime numbers are the numbers which have factors one and itself only.

2) Prime factorization is the group of prime numbers which when multiplied together to get the original number.

3) Now we will factorize the given number 15129

• 15129 = 3×3×41×41

To find the square root we will make the pair of the given factors. Underlined are the pairs.

• So the square root will be 3×41 = 123

• $\sqrt{15129} = 123$

Square root of 15129 is 123.

Answer 2

Given:

15129

To find:

Square root of 15129.

Solution:

1) Prime numbers are the numbers which have factors one and itself only.

2) Prime factorization is the group of prime numbers which when multiplied together to get the original number.

3) Now we will factorize the given number 15129

15129 = 3×3×41×41

To find the square root we will make the pair of the given factors. Underlined are the pairs.

So the square root will be 3×41 = 123

\sqrt{15129} = 12315129=123

Square root of 15129 is 123.