Which of the following is the prime factorisation of 360?

2^3 \times 3^2 \times 5

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2^3 \times 3 \times 5

Correct answerYour answer

2^4 \times 3^2 \times 5

Correct answerYour answer

2^2 \times 3^2 \times 5

Correct answerYour answer

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CorrectNot quiteAnswer A

Correct answer: A

$360 = 36 \times 10 = (4 \times 9) \times (2 \times 5)$ .
Collect the primes: $2 \times 2 \times 2 \times 3 \times 3 \times 5 = 2^3 \times 3^2 \times 5$ .

Worth noting

Multiply back to check: $8 \times 9 \times 5 = 360$ . The others give 180, 120 and 720 in turn.

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Explanation