Math Problem Statement

is 30 a factor or a multiple of 10?

Solution

30 is a multiple of 10, not a factor.

Here's why:

  • A multiple of a number is the result of multiplying that number by an integer. So, 30 is a multiple of 10 because 10×3=3010 \times 3 = 30.
  • A factor of a number is a number that divides evenly into that number. Since 10 divides into 30 (i.e., 30÷10=330 \div 10 = 3), 10 is a factor of 30, but 30 is not a factor of 10.

Would you like more examples or further explanations? Let me know if you have any more questions! Here are 5 related questions to consider:

  1. What is the definition of a factor and how can you find factors of a number?
  2. How do you list the multiples of 10 up to 100?
  3. What is the difference between a factor and a multiple in simple terms?
  4. Is 50 a multiple of 5, and how can you prove it?
  5. Can a number be both a factor and a multiple of another number?

Tip: To quickly check if a number is a multiple of another, divide it. If the remainder is zero, then it’s a multiple!

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Math Problem Analysis

Mathematical Concepts

Multiples
Factors

Formulas

Multiple = Number × Integer
Factor = Number ÷ Divisor

Theorems

Definition of multiples
Definition of factors

Suitable Grade Level

Grades 4-6