How many distinct prime numbers does 72 have
1. Prime Factorization: Start by breaking down 72 into its prime factors:
Divide 72 by the smallest prime number (2)
[tex]\[ \mathsf{72 \div 2 = 36} \] \ \\ \[ \mathsf{36 \div 2 = 18} \] \ \\ \mathsf{18 \div 2 = 9} \][/tex]
Now divide the remaining number (9) by the next smallest prime number (3)
[tex]\[ \mathsf{9 \div 3 = 3} \] \ \\\mathsf{3 \div 3 = 1} \][/tex]
List of Prime Numbers:
[tex]\[\boxed{\mathsf{\textcolor{brown}{72 = 2 \times 2 \times 2 \times 3 \times 3}}}\][/tex]
The distinct prime factors of 72 are 2 and 3.
So, 72 has 2 distinct prime numbers.
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