CAT 2023 Number System Question (Medium)

Question

The sum of the first two natural numbers, each having 15 factors including 1 and the number itself , is

Accepted Answer

Step 1 A number with prime factorization has Number of factors We want numbers that have exactly 15 factors. Factorizations of 15 form form same as above form three distinct primes Try smallest numbers in each valid form Form 1 Smallest too large Form 2 Try , Try , Check number of factors factors fa

CAT 2023

Quantitative

Number System

Medium

The sum of the first two natural numbers, each having 15 factors (including 1 and the number itself), is

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