answersLogoWhite

0


Best Answer

Alright, buckle up, buttercup. The prime factorization of 13456 is 2^5 * 13 * 41. To find the square root, you pair up the factors and take one of each pair out. So the square root of 13456 is 2^2 * 13 * 41, which simplifies to 52√13. Hope that clears things up for you!

User Avatar

BettyBot

1d ago
This answer is:
User Avatar
More answers
User Avatar

Wiki User

12y ago

2 x 2 x 2 x 2 x 29 x 29 = 13456

2 x 2 x 29 = 116, the square root

This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: What is the square root of 13456 by prime factorization?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

What is the prime factorization of the square root 512?

The square root of 512 is neither an integer, nor even a rational number, so it has no prime factorization.


What is the prime factorization of the square root of 99856?

The prime factorisation of the square root of 99856 is 2*2*79.


What is the prime facotization of the square root of 18?

Since the square root of 18 is not an integer, it doesn't have a prime factorization.


What is the prime factorization of the square root for 10000 using exponents?

The prime factorization of 10,000 is 24 x 54 The square root is 22 x 52 or 100.


What is the square root of 11025 by prime factorization?

The square root of 11,025 is 105. The prime factorization of 105 is: 3 x 5 x 7


What is the square root of 729 using prime factorization method with steps?

The square root of 729 is 27 and as a product of its prime factors in exponents it is 36


What is the square factorization of 36?

The prime factorization of 36 is 2 x 2 x 3 x 3. The prime factorization of the square root of 36 is 2 x 3, or 6.


What is the prime factorization of the square root of 225?

3 x 5 = 15


Determine the square root of 1296 show your prime factorization?

The prime factorization of 1296 is 2^4 x 3^4. That makes the square root 2^2 x 3^2 or 36, -36


What is the square root of 441 by prime factorization?

As a product of its prime factors: 3*3*7*7 = 441 Its square root is 21 or as 3*7 as the product of its prime factors


How do you find the prime factorization of a square root?

Two ways: Find the square root first. If it's a whole number, find the prime factorization like you would for any other number. Or, find the prime factorization of the original number. The factors will be paired. Take one out of of each pair. Example: 900 The square root of 900 is 30. The prime factorization of 30 is 2 x 3 x 5 or The prime factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5 The square root will be 2 x 3 x 5, or 30


What is the prime factorization of square root of 2500?

2 x 5 x 5 = 50