https://file.aiquickdraw.com/mathbot/file/1726601796601f0mh8z7n.jpg

The image shows the prime factorization of the number 56.

The factor tree for 56 breaks down as follows:
1. 56 is divided by 7 (a prime number), leaving 8.
2. 8 is divided by 2, resulting in 4.
3. 4 is divided by 2 again, resulting in 2, and one more division by 2 gives the final factor of 2.

Thus, the prime factors of 56 are:  
\[ 56 = 7 \times 2 \times 2 \times 2 \]
This can be written as:
\[ 56 = 7 \times 2^3 \]

This confirms that 56 is expressed as the product of its prime factors \( 7 \times 2^3 \), which matches the factor tree shown in the image.

Would you like more details or have any other questions?

Here are some related questions to explore:
1. What are prime numbers, and why are they important?
2. How can you determine if a number is prime?
3. What is the prime factorization of 72?
4. How does prime factorization help in simplifying fractions?
5. Can you find the greatest common divisor (GCD) using prime factorization?

**Tip:** Prime factorization is useful for finding the least common multiple (LCM) and greatest common divisor (GCD) of numbers.

Express 56 as the product of its prime factors.

Discover how to express the number 56 as the product of its prime factors. Follow the step-by-step factorization, resulting in 56 = 7 × 2^3, using the fundamental theorem of arithmetic. This problem is ideal for students in Grades 5-7 learning about prime numbers and factorization.

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