Chapter 5 · Class 6 CBSE · Formula Sheet
Prime Numbers & Factorization Formulas — Class 6 CBSE
Identify primes and composites; find factors, multiples, HCF, and LCM using prime factorization.
Key Formulas
Successor
\text{Successor of } n = n + 1
Predecessor
\text{Predecessor of } n = n - 1
Place Value (Indian)
\text{TC, C, TL, L, TTh, Th, H, T, O}
Ten Crores, Crores, Ten Lakhs, Lakhs, Ten Thousands, Thousands, Hundreds, Tens, Ones
Place Value (International)
\text{HM, TM, M, HTh, TTh, Th, H, T, O}
Hundred Millions, Ten Millions, Millions, etc.
Rounding Off
\text{If digit} < 5 \text{, round down; if} \geq 5 \text{, round up}
Commutative (Addition)
a + b = b + a
Commutative (Multiplication)
a \times b = b \times a
Associative (Addition)
(a + b) + c = a + (b + c)
Associative (Multiplication)
(a \times b) \times c = a \times (b \times c)
Distributive Property
a \times (b + c) = a \times b + a \times c
Additive Identity
a + 0 = a
Multiplicative Identity
a \times 1 = a
Multiplicative by Zero
a \times 0 = 0
Worked Examples
1Using: Place Value
Find the place value of 6 in 3,65,421.
Step 1: 6 is in the ten-thousands place.
Step 2: Place value = 6 x 10,000 = 60,000.
Answer: 60,000
2Using: Successor
Find the successor of 9,999.
Step 1: Successor = n + 1
Step 2: = 9,999 + 1 = 10,000.
Answer: 10,000
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