Topics
Relations and Functions
- Ordered Pair
- Concept of Relations
- Concept of Function
- Representation of Function
- Types of Functions
- Special Cases of Functions
- Composition of Functions
- Identifying the Graphs of Linear, Quadratic, Cubic and Reciprocal Functions
Numbers and Sequences
- Introduction of Numbers and Sequences
- Euclid’s Division Algorithm
- Fundamental Theorem of Arithmetic
- Modular Arithmetic
- Sequence in Number
- Arithmetic Progression (A.P.)
- Sequence, Series, and Progression
- Geometric Progression (G. P.)
- Sum to' n' Terms of a Geometric Progression
- Special Series
Algebra
- Simultaneous Linear Equations in Three Variables
- GCD and LCM of Polynomials
- Rational Expressions
- Square Root of Polynomials
- Concept of Quadratic Equations
- Graph of Variations
- Quadratic Graphs
- Concept of Matrices
Geometry
- Fundamentals of Geometrical Concepts
- Similarity of Triangles (Corresponding Sides & Angles)
- Thales Theorem and Angle Bisector Theorem
- Right-angled Triangles and Pythagoras Property
- Pythagoras Theorem
- Secant and Tangent
- Concurrency Theorems
Coordinate Geometry
Trigonometry
Mensuration
- Mensuration of Cylinder
- Mensuration of Cones
- Mensuration of a Sphere
- Frustum of a Cone
- Mensuration of Cones
- Mensuration of a Sphere
- Volume of Frustum of a Cone
- Surface Area of a Combination of Solids
- Conversion of Solids from One Shape to Another with No Change in Volume
Statistics and Probability
- Measures of Dispersion
- Coefficient of Variation
- Concept of Probability
- Elementary Types of Events and Properties of Probability
- Addition Theorem of Probability
- Significance of the Fundamental Theorem of Arithmetic
CBSE: Class 10
The Fundamental Theorem of Arithmetic
Statement:
Every composite number can be expressed (factorised) as a product of primes, and this factorisation is unique, apart from the order in which the prime factors occur.
Video Tutorials
Shaalaa.com | Real Numbers part 6 (Fundamental Theorem of Arithematic)
to track your progress
Related QuestionsVIEW ALL [84]
Read the following passage:
|
Khushi wants to organize her birthday party. Being health conscious, she decided to serve only fruits in her birthday party. She bought 36 apples and 60 bananas and decided to distribute fruits equally among all. |
Based on the above information, answer the following questions:
- How many guests Khushi can invite at the most?
- How many apples and bananas will each guest get?
-
- If Khushi decides to add 42 mangoes, how many guests Khushi can invite at the most?
OR - If the cost of 1 dozen of bananas is ₹ 60, the cost of 1 apple is ₹ 15 and cost of 1 mango is ₹ 20, find the total amount spent on 60 bananas, 36 apples and 42 mangoes.
- If Khushi decides to add 42 mangoes, how many guests Khushi can invite at the most?
