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Question
If 23 × 3a × b × 7 is the prime factorisation of 2520, then 5a + 2b = ______.
Fill in the Blanks
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Solution
If 23 × 3a × b × 7 is the prime factorisation of 2520, then 5a + 2b = 20.
Explanation:
From the prime factorisation 2520 = 23 × 32 × 5 × 7, we match a = 2 and b = 5.
This gives 5a + 2b = 5 × 2 + 2 × 5
= 10 + 10
= 20
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