# Quick Answer: How To Find Square Root Using Prime Factorization?

## What is the square root of 576 by prime factorization?

What is the square root of 576 in prime factorization form? The square root of 576 is √ 576 = 24.

## What is the square root of 784 by prime factorization method?

Thus, by prime factorisation method, we obtain the square root of 784 to be 28. The correct answer is 28.

## What is the square root of 2025 by prime factorization method?

Let us look at the prime factorization of the given number. So we can say that 2025 =45×45. Therefore, the square root of 2025 is 45.

## How do you find the square root of 7744 by prime factorization?

The numbers that we multiply are factors of the product. Hence, a factor can be defined as a number which completely divides a number without leaving any remainder. For example, factors of 12 are 1, 2, 3, 4, 6 and 12. Hence the square root of 7744 is 88 by using the prime factorization method.

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## What is the square number of 576?

The value of the square root of 576 is equal to 24. In radical form, it is denoted as √ 576 = 24.

## What is the square of 4225?

The answer is 65. To solve this, find a number when multiplied twice will give you an answer of 4,225. In this case, 65 x 65 = 4,225.

## How do you find the square root of 1156?

Square Root of Solved Examples

1. Write 1156 as 11 56 in pairs. 11 is the dividend now.
2. Find a (number x number) that gives ≤ 11. We find 3 × 3 = 9.
3. Bring down the next pair of 56.
4. Double the quotient.
5. Find a (number + 60) × number that gives the result ≤ 2 56.
6. Subtract this from 256.
7. Thus, √ 1156 = 34.

## How do you find the square root of 729?

To find the square root of 729: We can use prime factorization method to obtain one number from each pair of the same numbers and multiply them. The prime factorization of 729 is 3 × 3 × 3 × 3 × 3 × 3 which consists of 3 pairs of the same number, 3 × 3 x 3. Thus, the square root of 729 = 9 × 3 = 27.

## What is the square of 1296?

So, the square root of number 1296 is 36.

## How do you solve under root 1521?

Square root of 1521 =13×13⇒ Square root of 1521 =39⇒√ 1521 =39.

## What is the prime factorization of 2025?

Positive Integer factors of 2025 = 3, 9, 27, 81, 5, 405, 2025 divided by 3, 3, 3, 3, 5, 5, gives no remainder. They are integers and prime numbers of 2025, they are also called composite number.

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## What is a square root of 4096?

∴ The square root of 4096 is 64.

## What is the square root of 5776?

Hence, the square root of 5776 is 76.

## What is the positive square root of 6400?

Therefore, the square root of 6400 is 80. It can be represented as √ 6400 =80.

## What is the square root of 529 by prime factorization method?

Square Root of 529 by Prime Factorization Hence, the square root of 529 is 23. Thus, the square root of 529 is 23.