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Number System · Question 57 of 71

Question 57

EasyOriginal question

How many factors does 48 have?

Options for question 57

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. 48=24×348 = 2^4 \times 3.

  2. Number of factors = (4+1)(1+1)=10(4 + 1)(1 + 1) = 10.

  3. Check: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48.

Worth noting

Using only the power of 2 gives 5; forgetting the '+ 1' on one of the powers gives too few factors.

Concept
Number of factors from prime factorisation
Typical time
40 s
Your time
—
The rule this testsFactors and prime numbers
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