Math Problem Statement

Which statement is true? (Options: 21 is a multiple of 6, 21 is a multiple of 5, 21 is a multiple of 4, 21 is a multiple of 3.)

Solution

The question asks to identify which statement about the multiples of 21 is true. Let's analyze each option:

  1. 21 is a multiple of 6:

    • To check, divide 21 by 6: 21÷6=3.521 \div 6 = 3.5. Since the result is not an integer, 21 is not a multiple of 6.
  2. 21 is a multiple of 5:

    • To check, divide 21 by 5: 21÷5=4.221 \div 5 = 4.2. The result is not an integer, so 21 is not a multiple of 5.
  3. 21 is a multiple of 4:

    • To check, divide 21 by 4: 21÷4=5.2521 \div 4 = 5.25. Since the result is not an integer, 21 is not a multiple of 4.
  4. 21 is a multiple of 3:

    • To check, divide 21 by 3: 21÷3=721 \div 3 = 7. The result is an integer, so 21 is a multiple of 3.

Correct Answer:

21 is a multiple of 3.

Would you like further explanation or a deeper dive into multiples?

Related Questions:

  1. What is the definition of a multiple?
  2. How do you identify if a number is a multiple of another?
  3. What are some other multiples of 3 besides 21?
  4. Why isn't 21 a multiple of 6, 5, or 4?
  5. Can 21 be expressed as the product of other numbers besides 3 and 7?

Tip:

Always ensure to check for divisibility by dividing the number by the potential multiple and confirming the result is an integer!

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Multiples
Divisibility

Formulas

Divisibility test: A number N is a multiple of X if N ÷ X is an integer.

Theorems

Divisibility rules

Suitable Grade Level

Grades 4-6