Edexcel IGCSE Math A 1.4.D Products of Prime Factors

Practise decomposing integers into prime factors and writing repeated primes with index notation.

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

[Maximum number: 3]

$9 \quad N=480 \times 10^{9}$

Write N as a product of powers of its prime factors. Show your working clearly.

$N=2^{14}\times3\times5^{10}$

Final answer:
$2^{14}\times3\times5^{10}$

B3.
B2 for an answer in the form $2^m\times3\times5^n$ , where m and n are positive integers.

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1.4.D Prime factor decomposition question 1