Math Problem Statement

Choose ALL of the numbers 672 is divisible by.

Solution

To determine which of the numbers from the list (2, 6, 3, 5, 4, 8, 9, 10) divide 672 evenly, we can check each number by performing division.

Let's evaluate:

  1. 672 ÷ 2 = 336 (Divisible, remainder is 0)
  2. 672 ÷ 6 = 112 (Divisible, remainder is 0)
  3. 672 ÷ 3 = 224 (Divisible, remainder is 0)
  4. 672 ÷ 5 = 134.4 (Not divisible, remainder is not 0)
  5. 672 ÷ 4 = 168 (Divisible, remainder is 0)
  6. 672 ÷ 8 = 84 (Divisible, remainder is 0)
  7. 672 ÷ 9 = 74.67 (Not divisible, remainder is not 0)
  8. 672 ÷ 10 = 67.2 (Not divisible, remainder is not 0)

So, 672 is divisible by 2, 6, 3, 4, and 8.

Would you like further clarification on any of these divisions? Here are some related questions:

  1. What is the greatest common divisor (GCD) of 672 and 48?
  2. How do you check divisibility by 3 or 9?
  3. What are the prime factors of 672?
  4. Can you explain divisibility rules for 5 and 10?
  5. How would you find the least common multiple (LCM) of 672 and 8?

Tip: For divisibility by 2, check if the last digit is even; for divisibility by 3, sum the digits and check if that sum is divisible by 3.

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Math Problem Analysis

Mathematical Concepts

Divisibility Rules
Basic Arithmetic
Division

Formulas

Divisibility rules for 2, 3, 4, 5, 6, 8, 9, and 10

Theorems

Divisibility Theorem

Suitable Grade Level

Grades 5-7