Math Problem Statement

Choose ALL the numbers that are multiples of 7: 7, 14, 19, 21, 28, 34.

Solution

The task requires selecting all numbers that are multiples of 7. Let's verify each number:

  • 7: 7×1=77 \times 1 = 7 → Yes, it is a multiple of 7.
  • 14: 7×2=147 \times 2 = 14 → Yes, it is a multiple of 7.
  • 19: 19÷7=2.71419 \div 7 = 2.714 (not an integer) → No, not a multiple of 7.
  • 21: 7×3=217 \times 3 = 21 → Yes, it is a multiple of 7.
  • 28: 7×4=287 \times 4 = 28 → Yes, it is a multiple of 7.
  • 34: 34÷7=4.85734 \div 7 = 4.857 (not an integer) → No, not a multiple of 7.

Correct answers:

  • 7
  • 14
  • 21
  • 28

Would you like additional clarification or details on multiples?

Here are five related questions to explore:

  1. How can you quickly determine if a number is a multiple of another number?
  2. What are all the multiples of 7 between 1 and 50?
  3. How do multiples relate to factors in mathematics?
  4. Can multiples of 7 always be odd, even, or mixed? Why?
  5. How do you find common multiples of two numbers, like 7 and 5?

Tip: Multiples of a number are obtained by multiplying it by whole numbers starting from 1.

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Math Problem Analysis

Mathematical Concepts

Multiples
Division

Formulas

Multiple of a number: n × k, where k is a whole number

Theorems

Divisibility rule: A number is a multiple of another if the division results in an integer.

Suitable Grade Level

Grade 4-6