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

**Problem**

The number of different factors of 1800 equals:

(A) 12; (B) 210; (C) 36; (D) 18;

**Discussion: **

We may factor 1800 as

Then the number of factors is:

Hence answer is 36.

## Chatuspathi:

**What is this topic:**Number Theory**What are some of the associated concept:**Number Theoretic Functions**Where can learn these topics:**Cheenta**Book Suggestions:**Elementary Number Theory by David Burton

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