You find the prime factorization of 42 like this.
You think what 2 number multiplied together give you 42:
6x7 7 is prime because the only factors it has is 1 and itself. 6 can be broken into 3x2.
So you currently have 7x3x2. All these numbers are prime so you just found the prime factorization!
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In actual fact, the prime factorization of 42 is not 21 x 2, as 21 is not a prime number. The complete prime factorization of 42 is 2 x 3 x 7.
No.
the LCM of 42 and 126 using a prime factorization is 2 times 2 times 3
No, prime factorization of 42 is not 21 x 2 because 21 is not a prime number and it can be further broken into primes as 3 x 7. So prime factorization of 42 is 2 x 3 x 7.
42=2x21 21=3x7 PF=2x3x7 The PF (Prime Factorization) of 42 is 2x3x7.(Sorry, I couldn't do a factor tree, there are always helpful to use when doing prime factorization, but since this is the computer, I could only do it like the following above.)