GCSE Secondary Maths Age 13-17 - Number: Prime Factors - Explained

The video tutorial covers the concept of prime factorization, explaining how to express a number as a product of its prime factors using a factor tree. It also discusses the highest common factor (HCF) and lowest common multiple (LCM) of numbers, providing examples and strategies to find numbers that meet specific HCF and LCM conditions. The tutorial emphasizes understanding prime numbers, factors, and multiples, and provides guidance on solving related math problems.

What is a prime number?

• A number that is even

• A number that is odd

• A number with exactly two distinct factors

• A number with only one factor

Which of the following is a correct factorization of 180 into prime factors?

• 2 x 3 x 5

• 2 x 2 x 3 x 3 x 5

• 2 x 3 x 3 x 5

• 3 x 3 x 5

How do we usually write repeated prime factors?

• As a fraction

• In a list

• With indices

• As a sum

What does HCF stand for?

• Highest Common Factor

• Highest Common Function

• Highest Common Fraction

• Highest Common Formula

Which of the following is a multiple of 15?

• 10

• 40

• 30

• 20

If two numbers have an HCF of 6, which of the following could be one of the numbers?

• 18

• 12

• 5

• 25

What is the LCM of 6 and 30?

• 30

• 18

• 6

• 12