4x3x25x7 is not a prime factorization because 25 and 4 not are prime numbers.
We can write 25 as 5x5 = 52 and 4 as 2x2 = 22. Rewriting again the given expression as: 22x3x52x7, on simplifying we get 2100.
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When all the factors are prime numbers, that's a prime factorization.
a prime factorization tree
397 is a prime number, therefore prime factorization of 397 = 397.
Prime factorization of the number 54 is 2 x 33.
The prime factorization of the number 26 is: 2 x 13