Math Problem Statement

Factor 80 using the factor tree method

Solution

To factor 80 using the factor tree method, follow these steps:

  1. Start with the number 80 and find two numbers that multiply to give 80. For example: 80=8×1080 = 8 \times 10

  2. Factor 8 into two numbers: 8=4×28 = 4 \times 2

  3. Factor 4 into two numbers: 4=2×24 = 2 \times 2 So, 8 can be factored as 2×2×22 \times 2 \times 2.

  4. Factor 10 into two numbers: 10=5×210 = 5 \times 2

  5. Combine all the factors: 80=2×2×2×2×580 = 2 \times 2 \times 2 \times 2 \times 5

Therefore, the prime factorization of 80 is: 80=24×580 = 2^4 \times 5

Would you like more details or have any questions?

Here are five related questions:

  1. How would you factor 100 using the factor tree method?
  2. What is the prime factorization of 64?
  3. How can you use the factor tree method to find the GCD of 80 and another number?
  4. How does the factor tree method compare to the division method for finding prime factors?
  5. What is the significance of prime factorization in number theory?

Tip: When creating a factor tree, always start with the smallest prime number that divides the given number.

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Math Problem Analysis

Mathematical Concepts

Factorization
Prime Numbers
Factor Trees

Formulas

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Theorems

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Suitable Grade Level

Grades 6-8