Prime Factorisation
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The document provides instructions for factorizing numbers into their prime factors. It explains that students will learn to express whole numbers as the sum and product of their prime factors by drawing factor trees. It provides an example of factorizing the number 36 into 22 x 32 to show the prime factors of 2 and 3 and their exponents.
Prime Factorisation
- 1. Maths GCSE Prime Factorisation Objectives: To express a whole number as a sum of its prime factors To express a whole number as the product of powers of its prime factors
- 2. Starter Activity Work out the ..... First 10 prime numbers
- 3. Learning Objectives: •To express a whole number as a sum of its prime factors •To express a whole number as the product of powers of its prime factors Success Criteria: •You can complete factor trees when given the branches •You can independently draw factor trees for 3 digit numbers
- 4. Express 12 as a sum (product) of its prime factors … Which is correct, a, b, or c? a) 12 = 2 x 6 b) 12 = 3 x 4 c) 12 = 2 x 2 x 3
- 5. Silly Prime Rhyme Start with low prime numbers if you can Circle the prime numbers, now that’s a good plan! Keep dividing the number until you have only primes Maybe try to remember this silly prime rhyme! Once you’ve drawn your ‘prime factor tree’ Write the primes as a sum, like 2 x 2 x 3
- 6. Step 2: The number 36 is then written as the sum (product) of primes like this: 36 = 2 x 2 x 3 x 3 and / or 36 = 2²x 3² Step 1: A factor tree to show the prime factors of the number 36 Example 36 ÷2 18 9 ÷2 ÷3 ÷3