How 9 Cheenta students ranked in top 100 in ISI and CMI Entrances?
Learn More

Number of factors of 1800 | Tomato Problem 95

This is a problem number 95 from TOMATO based on finding the Number of factors of 1800.

The number of different factors of $1800$ equals:
(A) $12$; (B) $210$; (C) $36$; (D) $18$;

We may factor $1800$ as $2^3 \times 3^2 \times 5^2 $
Then the number of factors is: $(3+1) \times (2+1) \times (2+1) = 36 $

Hence answer is $36$.


  • What is this topic: Number Theory
  • What are some of the associated concept: Number Theoretic Functions
  • Where can learn these topics: Cheenta I.S.I. & C.M.I. course, discusses these topics in the ‘Number Theory’ module.
  • Book Suggestions: Elementary Number Theory by David Burton

Knowledge Partner

Cheenta is a knowledge partner of Aditya Birla Education Academy

Cheenta Academy

Aditya Birla Education Academy

Aditya Birla Education Academy

Cheenta. Passion for Mathematics

Advanced Mathematical Science. Taught by olympians, researchers and true masters of the subject.