Is 2*3*4the prime factorization of 24 Explain you reasoning

No

Step-by-step explanation:

First off, the number 4 is not a prime number and the prime factorization of a number has to consist of all prime numbers. 2*3*4 does result in 24 but 4 is not prime because a prime number is a whole number with exactly two factors, itself and 1. 4 has more than two factors; the factors of 4 are 1, 2, and 4 so 4 isn't prime.

2*2*2*3 is the prime factorization of 24 because when you break down 24 into prime numbers, the results are 2*2*2*3.

24=2*12 (here, we broke the number 24 into two factors 2 and 12. it doesn't matter which factors you break the number into because you still get the same result.)

2*12=2*2*6 (we broke the number 12 into 2*6 because 12 isn't prime. we have to break each number into prime numbers.)

2*2*6=2*2*2*3 (finally, we broke down 6 because it is the only number left that is not prime. 2*3=6 and 2 and 3 are prime so we break down 6 into 2*3)

Now you have the prime factorization of 24!

24=2*2*2*3

see the prime factors

Step-by-step explanation:

24 = 6*4=3*2*2*2

=2*3*4