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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 $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**Book Suggestions:**Elementary Number Theory by David Burton

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