Multiples, Factors and Prime Factors (Edexcel GCSE Maths): Flashcards

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Multiples, factors and prime factors
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Definition of multiples

Results from a number's times table

How to find multiples of a number

Multiply by 1, 2, 3, 4, etc.

Definition of factors

Whole numbers dividing exactly into a number, no remainder

Starting point for finding factors systematically

1×1 \times the number, then test 2,3,4...2, 3, 4... in order

When to stop in systematic factor finding

When a number repeats from earlier pairs

What prime factorization means

Expressing a number as prime numbers multiplied together

First step of factor tree method

Split the number into any two factors

What to do when you reach a prime in factor tree

Circle it - it's a final answer

When factor tree is complete

When only prime numbers remain

Prime factorization of 420

22×3×5×72^2 \times 3 \times 5 \times 7

Fundamental Theorem of Arithmetic

Every positive integer has unique prime factorization

All factors of 24

1, 2, 3, 4, 6, 8, 12, 24

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