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Class 10MathematicsReal Numbers

The Fundamental Theorem of Arithmetic

Every composite number can be expressed as a product of prime numbers, and this factorisation is unique apart from the order of factors. This theorem is the base for HCF, LCM, and checking terminating or non-terminating decimal expansions.

10 examples

Concept check 1
For Class 10 Mathematics, explain or solve a the fundamental theorem of arithmetic question from the chapter "Real Numbers". Focus on concept check and show the working clearly.
Definition to application 2
For Class 10 Mathematics, explain or solve a the fundamental theorem of arithmetic question from the chapter "Real Numbers". Focus on definition to application and show the working clearly.
Formula warm-up 3
For Class 10 Mathematics, explain or solve a the fundamental theorem of arithmetic question from the chapter "Real Numbers". Focus on formula warm-up and show the working clearly.
Reasoning practice 4
For Class 10 Mathematics, explain or solve a the fundamental theorem of arithmetic question from the chapter "Real Numbers". Focus on reasoning practice and show the working clearly.
Board-style short answer 5
For Class 10 Mathematics, explain or solve a the fundamental theorem of arithmetic question from the chapter "Real Numbers". Focus on board-style short answer and show the working clearly.
Mistake correction 6
For Class 10 Mathematics, explain or solve a the fundamental theorem of arithmetic question from the chapter "Real Numbers". Focus on mistake correction and show the working clearly.
Visual interpretation 7
For Class 10 Mathematics, explain or solve a the fundamental theorem of arithmetic question from the chapter "Real Numbers". Focus on visual interpretation and show the working clearly.
Applied word problem 8
For Class 10 Mathematics, explain or solve a the fundamental theorem of arithmetic question from the chapter "Real Numbers". Focus on applied word problem and show the working clearly.
Revision challenge 9
For Class 10 Mathematics, explain or solve a the fundamental theorem of arithmetic question from the chapter "Real Numbers". Focus on revision challenge and show the working clearly.
Exam recap 10
For Class 10 Mathematics, explain or solve a the fundamental theorem of arithmetic question from the chapter "Real Numbers". Focus on exam recap and show the working clearly.
The Fundamental Theorem of Arithmetic โ€” Real Numbers Class 10 Mathematics | MscTutor