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Number System · Question 62 of 71

Question 62

MediumOriginal question

What is the sum of all the factors of 36?

Options for question 62

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. 36=22×3236 = 2^2 \times 3^2.

  2. Sum of factors = (1+2+4)(1+3+9)=7×13=91(1 + 2 + 4)(1 + 3 + 9) = 7 \times 13 = 91.

  3. Check: 1+2+3+4+6+9+12+18+36=911 + 2 + 3 + 4 + 6 + 9 + 12 + 18 + 36 = 91.

Worth noting

55 leaves out 36 itself (the sum of proper factors only); 9 is the NUMBER of factors, not their sum.

Concept
Sum of factors from prime factorisation
Typical time
60 s
Your time
—
The rule this testsFactors and prime numbers
Practise this chapter →

Ten questions from Number System, at your own pace.

Practise this chapter →

Ten questions from Number System, at your own pace.