The prime factorization of 180 is: 2 x 2 x 3 x 3 x 5
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The prime factorization of 180 is 2x2x3x3x5 (or22x32x5)
180-60x3,10x6,5x2,2x3252-126x2,2x63,9x8,3x3,4x2,2x25x2x2x3x3x2x3x3x2x2x2x2=5184
That's the prime factorization of 180.
Because the prime decomposition of primes is trivial and pointless.
It is called the prime factorisation (or prime decomposition) of the composite number.