Divide a number and its factors by prime numbers until all the factors are prime.
210 Divide by two.
105,2 Divide by three.
35,3,2 Divide by five.
7,5,3,2 Stop.
2 x 3 x 5 x 7 = 210
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53 is a prime number so there is no relevant prime factorization for it.
prime factorization
the prime factorization
A factor free is a diagram showing the prime factorization of a number.
There is no prime factorization for 23; it is a prime number.