Maths dictionary
What is a factor in maths?
A factor of a number is a whole number that divides it exactly, with no remainder.
Definition
A factor of a number is a whole number that divides it exactly, with no remainder.
Example
The factors of 12 are 1, 2, 3, 4, 6 and 12, because 12 ÷ 4 = 3 exactly.
Tip
Find factors in pairs: 1 × 12, 2 × 6, 3 × 4.
Practise it
- Play: Prime Hunter
- Worksheets: Factors and multiples (Grade 4)
- Worksheets: Highest common factor and lowest common multiple (Grade 6)
- Online maths practice
Quick check: try these
Work each one out on paper, then tap the question to see the answer.
How many factors does 18 have?
Answer: 6
How many factors does 12 have?
Answer: 6
How many factors does 30 have?
Answer: 8
How many factors does 14 have?
Answer: 4
Learn it in depth
Factor is part of HCF and LCM for Class 6: notes, formulas, solved examples with every step, common mistakes and ten practice questions with answers. Want a teacher to go through it with you? See Class 6 maths tuition.
Related words
FAQ
Factor: questions
What is a factor in maths?
A factor of a number is a whole number that divides it exactly, with no remainder. The factors of 12 are 1, 2, 3, 4, 6 and 12, because 12 ÷ 4 = 3 exactly.
What is a common mistake with factor?
Find factors in pairs: 1 × 12, 2 × 6, 3 × 4.
Where do students learn factor?
HCF and LCM is usually taught in Class 6, and the ideas come back in later classes. Chapter names and order differ by board and textbook, so follow your own textbook. We have a full page with notes, solved examples and practice questions.
Play it, don't just read it
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Profit and loss (Grade 7): Finding profit or loss as a percentage of the cost price, and the selling price after a gain or loss. Open the practice page or print a worksheet.
Or play a game
- Percent PowerPractise finding percentages of amounts and understanding percentage…Play
- Number Sense LabExplore place value, number patterns, rounding, factors and multiples…Play
- Prime HunterTap every prime, square, multiple or factor hidden in a grid of numbers.Play