Factor tree:
2970
2 x 1485
2 x 3 x 495
2 x 3 x 3 x 165
2 x 3 x 3 x 3 x 55
2 x 3 x 3 x 3 x 5 x 11
The prime factorization if 2970 is 2 x 3 x 3 x 3 x 5 x 11 or 2 x 33 x 5 x 11.
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No, 3x5x4 is not a prime factorization of 60. A prime factorization of 60 would consist of only prime numbers. The prime factorization of 60 is 2x2x3x5.
When all the factors are prime numbers, that's a prime factorization.
Prime factorization!
There is no need to do prime factorization as prime numbers are already prime.
the prime factorization of 2x2x13x17 is 884