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:
- 31: Not a multiple of 3 (31 ÷ 3 = 10.33, not an integer).
- 36: Is a multiple of 3 (36 ÷ 3 = 12, an integer).
- 39: Is a multiple of 3 (39 ÷ 3 = 13, an integer).
- 42: Is a multiple of 3 (42 ÷ 3 = 14, an integer).
- 43: Not a multiple of 3 (43 ÷ 3 = 14.33, not an integer).
- 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:
- How can you determine if a number is a multiple of 3 using divisibility rules?
- Can a number be a multiple of 3 but not of 6? Why or why not?
- What is the least common multiple (LCM) of 3 and 4?
- How do multiples of 3 relate to patterns in a multiplication table?
- 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