Help your students prepare for their Maths GCSE with this free prime factors worksheet of 30+ questions and answers
The prime factors of a number are factors of that number which are prime. Every composite number can be written as a product of its prime factors.
The factors of a number are values which divide exactly into the number. For example, the factors of 12 are 1, 2, 3, 4, 6 and 12.
Prime numbers are integers whose only factors are themselves and 1. Examples of prime numbers are 2, 3, 5, 7 and 11.
To find the prime factors of a number, we can draw a prime factor tree, breaking down the number into pairs of factors until we achieve all prime numbers. The prime factorisation of a number is often written using exponents, in index form, for example 72=2^(3)*3^(2).
The prime factors of two or more given numbers can be used to find the HCF and LCM of those numbers.
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