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Number System · Question 63 of 71

Question 63

MediumOriginal question

How many factors does 540 have?

Options for question 63

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. 540=22×33×5540 = 2^2 \times 3^3 \times 5.

  2. Number of factors = (2+1)(3+1)(1+1)=3×4×2=24(2 + 1)(3 + 1)(1 + 1) = 3 \times 4 \times 2 = 24.

Worth noting

Dropping the factor for the single 5 gives 12 — every prime, even a power of 1, contributes (1+1)(1 + 1).

Concept
Number of factors with three primes
Typical time
55 s
Your time
—
The rule this testsFactors and prime numbers
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