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multiples and factors
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multiples and factors
Understanding Multiples
Multiples are the products of a number and any integer. For example, the multiples of 3 are obtained by multiplying 3 with integers:
So, the multiples of 3 are: 3, 6, 9, 12, 15, and so on.
Understanding Factors
Factors are the numbers that divide another number completely without leaving a remainder. For example, the factors of 12 are:
Hence, the factors of 12 are: 1, 2, 3, 4, 6, and 12.
Key Differences
Real-Life Applications
Understanding multiples and factors is essential in various real-life scenarios, such as:
Grasping the concepts of multiples and factors lays a solid foundation for more advanced mathematical studies.
Multiples are the products of a number and any integer. For example, the multiples of 3 are obtained by multiplying 3 with integers:
- 3 × 1 = 3
- 3 × 2 = 6
- 3 × 3 = 9
- 3 × 4 = 12
- 3 × 5 = 15
So, the multiples of 3 are: 3, 6, 9, 12, 15, and so on.
Understanding Factors
Factors are the numbers that divide another number completely without leaving a remainder. For example, the factors of 12 are:
- 1 × 12 = 12
- 2 × 6 = 12
- 3 × 4 = 12
Hence, the factors of 12 are: 1, 2, 3, 4, 6, and 12.
Key Differences
- Definition: Multiples are generated by multiplying; factors are generated by dividing.
- Nature: Multiples are infinite; factors are finite for any given number.
- Examples: For 4, multiples include 4, 8, 12; factors include 1, 2, 4.
Real-Life Applications
Understanding multiples and factors is essential in various real-life scenarios, such as:
- Solving problems in arithmetic and algebra.
- Understanding ratios and proportions.
- Using in least common multiple (LCM) and greatest common divisor (GCD) calculations.
Grasping the concepts of multiples and factors lays a solid foundation for more advanced mathematical studies.
Community Answer
multiples and factors
multiples is the number which is to be multiplied by a number .
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multiples and factors
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multiples and factors for Class 5 2024 is part of Class 5 preparation. The Question and answers have been prepared according to the Class 5 exam syllabus. Information about multiples and factors covers all topics & solutions for Class 5 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for multiples and factors.
multiples and factors for Class 5 2024 is part of Class 5 preparation. The Question and answers have been prepared according to the Class 5 exam syllabus. Information about multiples and factors covers all topics & solutions for Class 5 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for multiples and factors.
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