Factors, Divisors, Primes & Number Analysis

mathraja

Teacher: M.RajaRao, MSc, MEd. S.A(Mathematics)

Factors, Divisors, Primes & Number Analysis

📚 Theory

Factors & Divisors

A factor is a number that divides another number exactly, leaving no remainder.

Dividend = (Divisor × Quotient) + Remainder

(If Remainder is 0, the Divisor is a Factor)

Prime vs. Composite

• Prime Exactly two factors (1 & itself).
• Composite More than two factors.
• 1 Neither prime nor composite.

🔢 Number Explorer

Find prime numbers in a custom range.

From

To

 

➗ Interactive Division

Check if a number is a factor using the Notebook Method.

Dividend

Divisor

 

🔍 Number Analyzer

Explore factors, prime factorization, and exponents.

Enter Number to Analyze

 

Step 1: Check Factor Pairs

Reference: All Factors

Inverse Relationship

For Your Entered Numbers:

⚡ Exponential Form

aⁿ

n → Exponent (Power)

a → Base

Read as: 'a' raised to the power of 'n'

Example: Base 2

Multiplication	Form	Read As
2	21	2 to the 1st power
2 × 2	22	2 Squared
2 × 2 × 2	23	2 Cubed
2 × 2 × 2 × 2	24	2 to the 4th power

General Rule:
Multiply n times = Baseⁿ

💡 Understanding Factors

Factor × Factor = Product

Factors are the numbers you multiply to get a Product.

Definition Example: 3 × 4 = 12

3

Factor

×

4

Factor

=

12

Product

🔲 Visual Patterns (Example: 12)

6 COLS   2 ROWS