Question

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How many numbers less than 30 have an odd number of factors?

Answer 1

Answer:

• 5 numbers

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Only the perfect squares have odd number of factors.

Example

• 1 ⇒ 1                            One factor
• 4 ⇒ 1, 2, 4                   Three factors
• 16 ⇒ 1, 2, 4, 8, 16        Five factors

Perfect squares less than 30 are

• 1, 4, 9, 16, 25 - total 5 numbers

Answer 2

Solution:

Find the set of prime numbers that, when multiplied together, give 30.

2,3 and 5