Key learning points

1. Every positive integer can be broken down into prime factors.
2. Every positive integer can be written as a product of its prime factors.
3. Prime factor products can be simplified by using index notation.

Keywords

• Product of primes - Expressing a number as a product of primes means writing it uniquely as a product of its factors that are prime numbers.

• Prime factors - Prime factors are the factors of a number that are, themselves, prime.

• Prime factorisation - Prime factorisation is a method to find the prime factors of a given integer.

Common misconception