CBSE Class 10 Answered

In number theory and algebraic number theory, the Fundamental Theorem of Arithmetic (or Unique-Prime-Factorization Theorem) states that any integer greater than 1 can be written as a unique product (up to ordering of the terms) of prime numbers. For example,

are two examples of numbers satisfying the hypothesis of the theorem, that can be written as the product of prime numbers. Intuitively, this theorem characterizes prime numbers uniquely in the sense that they are the "core of all numbers".

Yes it can be done like following:

2 |72

2|36

2|18

3|9

3|3

1|1

Hence 72=2³ 3²