Edexcel IGCSE Math A Foundation 1.4 D Prime Factor Decomposition Questions
Practise decomposing integers into prime factors and writing repeated primes with index notation.
- Syllabus
- First assessment 2018
- Course
- Math A 4MA1
- Level
- Foundation
Exam points
- divide successively by prime numbers until every remaining factor is prime
- group repeated prime factors and write them using positive integer powers
- multiply the prime-power product to check it reproduces the original integer
Edexcel IGCSE Math A Foundation 1.4 D Prime Factor Decomposition Questions question 1
[Maximum number: 4]
Question (a)
(a)
Write 720 as a product of its prime factors. Show your working clearly.
[ 3 ]
Example working:
720=2×360=2×2×180
or
720=3×240=3×3×80
Prime factors:
2, 2, 2, 2, 3, 3, 5
Final answer:
2×2×2×2×3×3×5
or
24×32×5
M1 for at least 2 correct stages. M1 for the full list of prime factors, condoning inclusion of 1. A1 dep on M2.
Question (b)
(b)
Find the smallest whole number that 720 can be multiplied by to give a square number.
[ 1 ]
Final answer:
5
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