Step 1: Understanding the Concept
Isoprene is the monomer of natural rubber, \(\text{CH}_2=\text{C}(\text{CH}_3)-\text{CH}=\text{CH}_2\).
Step 2: Naming
The longest chain containing both double bonds has four carbons, so the parent is butadiene with double bonds at C-1 and C-3.
Numbering from the end nearer the branch puts the methyl on C-2.
Step 3: Conclusion
The name is 2-methyl-1,3-butadiene.
Final Answer:
The IUPAC name of isoprene is 2-methyl-1,3-butadiene.
\[ \boxed{\text{(C) }\text{2-methyl-1,3-butadiene}} \]