The prime factors of 18 are 2 x 3 x 3
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The prime factorization of 50 is 2x5x5 or 2 x 52. The prime factorization of 18 is 2x3x3 or 2 x 32. The prime factorization of 32 is 2x2x2x2x2 or 25.
First we have to find a prime number by which 18 is divisible. 18 is divisible by both 2 and 3. However, we can start with any number. 18/3 = 6, now we have to look for a prime number by which 6 is divisible. 6/3 = 2, 2 is divisible by itself. So, prime factorization of 18 = 2x3x3.
When all the factors are prime numbers, that's a prime factorization.
a prime factorization tree