Question

4. Find the prime factorisation of the following by division method.
a. 136
b. 138​

Answer 1

Answer:

136=2×2×2×17

138=2×3×23

Answer 2

Fundamental Theorem of Arithmetic:-

• Every composite number can be written as the product of powers of primes.

Examples:-

1. 4 = 2 × 2 = 2^2
2. 9 = 3 × 3 = 3^3
3. 100 = 2 × 2 × 5 × 5 = 2^2 × 5^2