Apt Number Properties — Free Aptitude Tutorial
Learn Apt Number Properties in Aptitude with a free, beginner-friendly tutorial, examples and practice for Indian students on Syllab.in.
TL;DR: Learn Apt Number Properties in Aptitude with a free, beginner-friendly tutorial, examples and practice for Indian students on Syllab.in.
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Apt Number Properties in Aptitude
Perfect Squares: Numbers whose square root is an integer. 1,4,9,16,25,36,49,64,81,100... Always end in 0,1,4,5,6,9.
Perfect Cubes: 1,8,27,64,125,216,343,512,729,1000... n³ for n=1,2,3...
Prime Factorization: Express a number as product of primes. 60 = 2²×3×5. Number of factors = (2+1)(1+1)(1+1) = 12.
Counting divisors: If n = p1^a × p2^b × p3^c, total factors = (a+1)(b+1)(c+1).
Sum of first n natural numbers = n(n+1)/2. Sum of squares = n(n+1)(2n+1)/6. Sum of cubes = [n(n+1)/2]².
Apt Number Properties — Syntax
n = p1^a × p2^b × p3^c Number of factors = (a+1)(b+1)(c+1) Sum 1..n = n(n+1)/2 Sum of squares = n(n+1)(2n+1)/6
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