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Real Numbers Experiment Lab
Based on NCERT Class 10 Chapter 1
Prime Factorization
HCF & LCM
Irrationality Proof
Decimal Expansion
Prime Factorization (Factor Tree)
Every composite number = product of powers of primes
Enter a number:
Factorize
Try These (from the PDF)
Ex 1.1 Q1(i) : 140
Ex 1.1 Q1(ii) : 156
Ex 1.1 Q1(iii) : 3825
Ex 1.1 Q1(iv) : 5005
Ex 1.1 Q1(v) : 7429
Ex 1.1 Q3 : 96
Ex 1.1 Q3 : 404
HCF and LCM Calculator
HCF = product of smallest powers of common prime factors
LCM = product of greatest powers of all prime factors
Numbers (comma-separated):
Calculate
Try These (from the PDF)
Ex 1.1 Q2(i) : 26, 91
Ex 1.1 Q2(ii) : 510, 92
Ex 1.1 Q2(iii) : 336, 54
Ex 1.1 Q3(i) : 12, 15, 21
Ex 1.1 Q3(ii) : 17, 23, 29
Ex 1.1 Q3(iii) : 8, 9, 25
Ex 1.1 Q3 : 96, 404
Ex 1.1 Q4 : 6, 72, 120
Prove Irrationality
Prove that sqrt(n) is irrational where n is a non-square positive integer
Enter n:
Prove
Try These (from the PDF)
Ex 1.2 Q1 : sqrt(2)
Ex 1.2 Q1 : sqrt(3)
Ex 1.2 Q1 : sqrt(5)
Decimal Expansion of Rational Numbers
p/q is terminating iff prime factorization of q is of form 2^m * 5^n
Enter p/q:
/
Analyze
Try These (from the PDF)
1/2
1/3
3/8
2/7
5/16
7/20