find that of 256, 1324, 11011, 456 and verify it each

Let's break down your request and analyze the numbers 256, 1324, 11011, and 456.

You might be asking to perform some common mathematical operations on each number, such as:

1. **Prime Factorization**
2. **Finding the Square Root**
3. **Finding the Cube Root**
4. **Determining if the numbers are prime**
5. **Checking for divisibility by certain values**

I'll start by performing the following operations on each of the given numbers:

1. Prime factorization.
2. Checking if the number is a prime.
3. Square root and cube root.
4. Divisibility by common factors like 2, 3, 5, 7.

Let’s analyze and verify the results for each number.

### 1. **256**:
- **Prime Factorization**: 256 = 2⁸.
- **Prime Status**: 256 is not a prime number.
- **Square Root**: √256 = 16.
- **Cube Root**: ³√256 ≈ 6.3496.
- **Divisibility**: Divisible by 2 (even number).

### 2. **1324**:
- **Prime Factorization**: 1324 = 2² × 331.
- **Prime Status**: 1324 is not a prime number, but 331 is prime.
- **Square Root**: √1324 ≈ 36.39.
- **Cube Root**: ³√1324 ≈ 10.899.
- **Divisibility**: Divisible by 2 (even number).

### 3. **11011**:
- **Prime Factorization**: 11011 = 7 × 11 × 143.
- **Prime Status**: 11011 is not a prime number.
- **Square Root**: √11011 ≈ 104.9.
- **Cube Root**: ³√11011 ≈ 22.2.
- **Divisibility**: Divisible by 7 and 11.

### 4. **456**:
- **Prime Factorization

Explore the prime factorization, prime status, square roots, cube roots, and divisibility of the numbers 256, 1324, 11011, and 456. This guide provides a detailed verification of each number using key mathematical concepts suitable for students in Grades 6-8.

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