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A factor is a whole number that divides exactly into another number, leaving no remainder. In other words, if you can multiply two whole numbers together to get a certain number, then each of those is a factor of the result.
Simple Examples:
- The factors of 12 are all the numbers that multiply in pairs to make 12:
- 1 \times 12 = 12
- 2 \times 6 = 12
- 3 \times 4 = 12
So, the factors of 12 are 1, 2, 3, 4, 6, and 12. - Let’s take the number 15:
- 1 \times 15 = 15
- 3 \times 5 = 15
The factors of 15 are 1, 3, 5, and 15.
Why Are Factors Important?
Understanding factors is key when simplifying fractions, solving equations, and finding patterns in maths. For example, factors are used to find the greatest common divisor (GCD) and the lowest common multiple (LCM) of numbers. Factors also help to break down numbers into their prime components, which is a crucial skill in many areas of mathematics.
If you’re preparing for exams and want to strengthen your understanding of factors and other number topics, a Maths Tutor for GCSE can give you personalised support, clear explanations, and plenty of practice questions to build your confidence and skills.
