Math Problem Statement

Choose all the numbers that are multiples of 3 from the given options: 31, 36, 39, 42, 43, and 45.

Solution

The task is to identify all the numbers that are multiples of 3 in the given set. Let’s evaluate each number:

  1. 31: Not a multiple of 3 (31 ÷ 3 = 10.33, not an integer).
  2. 36: Is a multiple of 3 (36 ÷ 3 = 12, an integer).
  3. 39: Is a multiple of 3 (39 ÷ 3 = 13, an integer).
  4. 42: Is a multiple of 3 (42 ÷ 3 = 14, an integer).
  5. 43: Not a multiple of 3 (43 ÷ 3 = 14.33, not an integer).
  6. 45: Is a multiple of 3 (45 ÷ 3 = 15, an integer).

Multiples of 3: 36, 39, 42, and 45

Would you like further explanation about multiples of numbers, or help with related topics?

Here are five related questions for deeper understanding:

  1. How can you determine if a number is a multiple of 3 using divisibility rules?
  2. Can a number be a multiple of 3 but not of 6? Why or why not?
  3. What is the least common multiple (LCM) of 3 and 4?
  4. How do multiples of 3 relate to patterns in a multiplication table?
  5. How would you find the sum of all multiples of 3 within a given range?

Tip: A quick divisibility rule for 3 is to sum the digits of the number. If the sum is divisible by 3, so is the number!

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Math Problem Analysis

Mathematical Concepts

Number Theory
Divisibility Rules
Multiples

Formulas

Divisibility rule for 3: A number is divisible by 3 if the sum of its digits is divisible by 3.

Theorems

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Suitable Grade Level

Grades 4-6